Dinesh Kumar | Pure Mathematics | Best Researcher Award

Assist. Prof. Dr. Dinesh Kumar | Pure Mathematics | Best Researcher Award

Assistant Professor at Agriculture University Jodhpur, India

Dr. Dinesh Kumar 🎓, a distinguished researcher in Applied Mathematics, serves at the College of Agriculture, Jodhpur under Agriculture University Jodhpur. With a Ph.D. in Mathematics and over 12 years of research and 10 years of teaching experience 📘, his expertise spans Fractional Calculus, Special Functions, Integral Transforms, and Mathematical Physics 🔬. He has earned prestigious fellowships including the UGC-DSK PDF, NBHM PDF, and an international postdoc in Thailand 🌏. Dr. Kumar has delivered lectures globally and received several honors including research paper awards and international travel grants 🏅. Proficient in tools like MATLAB and LaTeX 💻, he is an active member of various academic societies and contributes to major academic events and evaluations 📊. His contributions reflect excellence, dedication, and global academic impact 🌐.

Professional Profile 

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Education 🎓

Dr. Dinesh Kumar holds a Ph.D. in Mathematics from J.N. Vyas University, Jodhpur (2013), with a specialization in Fractional Differintegrals and Applications. He previously completed his M.Phil. in Mathematics with distinction (76.4%) in 2008, followed by an M.Sc. in Mathematics (67.9%) and a B.Sc. in PCM. In addition to his core qualifications, he holds a PGDCA in Computer Science and has successfully cleared the IELTS exam by the British Council 🌍. His academic foundation is deeply rooted in analytical reasoning, integral calculus, and differential equations. Through rigorous academic training, Dr. Kumar has built an outstanding base for mathematical modeling and theoretical research 🧠. His progressive academic journey reflects commitment, clarity, and passion for mathematical sciences 📚.

Professional Experience 👨‍🏫

Dr. Dinesh Kumar has over 12 years of dynamic research experience and 10 years of teaching excellence in undergraduate and postgraduate mathematics education 🏫. He currently serves at the College of Agriculture, Jodhpur under Agriculture University Jodhpur. His teaching portfolio includes Algebra, Calculus, Differential Equations, Engineering Mathematics, Operations Research, and Design of Experiments. Beyond teaching, Dr. Kumar has actively participated in administrative responsibilities, including roles as Observer and City Coordinator in university-level entrance exams 📝. His leadership is also evident in his technical committee membership for international conferences. With a commitment to academic development and student mentorship, he contributes holistically to the academic and research ecosystem of his institution and beyond 🌐.

Research Interest 🔬

Dr. Kumar’s research focuses on advanced mathematical areas including Fractional Calculus, Special Functions, Integral Transforms, Differential Equations, q-Fractional Calculus, and Mathematical Physics 📐. His interests also cover Kinetic and Reaction-Diffusion Equations, Inequalities, and Hypergeometric Functions, all central to modern applied mathematics. His work contributes significantly to theoretical models and their real-world applications in physics and engineering domains. Dr. Kumar is also passionate about extending classical mathematical theories into new interdisciplinary areas 🌍. His dedication to research is reflected through numerous international collaborations, invited lectures, and participation in global mathematical forums. With a vision for innovation and impact, Dr. Kumar continuously pushes the boundaries of applied mathematical science 🚀.

Awards and Honors 🏆

Dr. Dinesh Kumar has received numerous accolades throughout his academic career. He was recently honored with a Research Paper Award by the Vice Chancellor of Agriculture University Jodhpur 🇮🇳. His prestigious fellowships include UGC’s Dr. D.S. Kothari PDF, NBHM Postdoctoral Fellowship, and international postdocs from Thailand and Turkey 🌎. He received full travel support for attending global conferences, including ICM 2018 in Brazil. Dr. Kumar was nominated for the “Bharat Shiksha Ratan Award” in 2019 🥇. These accolades recognize his outstanding contributions to mathematical research and education. They also reflect his global academic presence and excellence in both theoretical and applied domains 📊.

Research Skills 💡

Dr. Dinesh Kumar is highly skilled in mathematical modeling, analytical problem-solving, and academic publishing. His technical proficiencies include MATLAB, Mathematica, and LaTeX—tools essential for modern research in mathematics and computational sciences 💻. He has authored and presented papers in international conferences, collaborated globally, and developed complex models in fractional calculus and integral transforms. He is also adept at typesetting academic papers, designing mathematical experiments, and communicating complex theories with clarity 📘. His ability to bridge theoretical concepts with real-world applications makes him a valuable contributor to scientific research. Dr. Kumar’s rich skill set underscores his capacity to drive innovation in mathematical sciences ⚙️.

Publications Top Note 📝

  • Title: Generalized fractional integrals of product of two H-functions and a general class of polynomials
    Authors: D. Baleanu, D. Kumar, S.D. Purohit
    Year: 2016
    Citations: 55
    Source: International Journal of Computer Mathematics, 93(8), 1320–1329

  • Title: On generalized fractional kinetic equations involving generalized Bessel function of the first kind
    Authors: D. Kumar, S.D. Purohit, A. Secer, A. Atangana
    Year: 2015
    Citations: 54
    Source: Mathematical Problems in Engineering, 2015(1), Article ID 289387

  • Title: Generalized fractional integrals involving product of multivariable H-function and a general class of polynomials
    Authors: D. Kumar, S.D. Purohit, J. Choi
    Year: 2016
    Citations: 49
    Source: Journal of Nonlinear Science and Applications, 9(1), 8–21

  • Title: Solutions of generalized fractional kinetic equations involving Aleph functions
    Authors: J. Choi, D. Kumar
    Year: 2015
    Citations: 49
    Source: Mathematical Communications, 20(1), 113–123

  • Title: Generalized fractional integration of the ℵ-function
    Authors: J. Ram, D. Kumar
    Year: 2011
    Citations: 37
    Source: A A, 1(2)

  • Title: Solution of a general family of fractional kinetic equations associated with the generalized Mittag-Leffler function
    Authors: D. Kumar, J. Choi, H.M. Srivastava
    Year: 2018
    Citations: 31
    Source: Nonlinear Functional Analysis and Applications, 23(3), 455–471

  • Title: Generalized fractional integration involving Appell hypergeometric of the product of two H-functions
    Authors: J. Ram, D. Kumar
    Year: 2011
    Citations: 31
    Source: Vijnana Parishad Anusandhan Patrika, 54(3), 33–43

  • Title: The Multivariable H-Function and the General Class of Srivastava Polynomials Involving the Generalized Mellin-Barnes Contour Integrals
    Authors: J. Daiya, J. Ram, D. Kumar
    Year: 2016
    Citations: 30
    Source: Filomat, 30(6), 1457–1464

  • Title: Generalized Fractional Calculus of the -Series Involving Hypergeometric function
    Authors: D. Kumar, R.K. Saxena
    Year: 2015
    Citations: 26
    Source: Sohag Journal of Mathematics, 2(1), 17–22

  • Title: Generalized Fractional Calculus of the Aleph-function Involving a General Class of Polynomials
    Authors: R.K. Saxena, D. Kumar
    Year: 2015
    Citations: 26
    Source: Acta Mathematica Scientia, 35(5), 1095–1110

  • Title: Certain integral equation of Fredholm type with special functions
    Authors: D. Kumar, F. Ayant
    Year: 2023
    Citations: 1
    Source: São Paulo Journal of Mathematical Sciences, 17(2), 957–968

  • Title: Certain finite integrals related to the products of special functions
    Authors: D. Kumar, F. Ayant, S. Asawasamrit, J. Tariboon
    Year: 2021
    Citations: 1
    Source: Symmetry, 13, Article 11

  • Title: Fractional calculus operators pertaining to multivariable Aleph-function
    Authors: D. Kumar, F. Ayant
    Year: 2020
    Citations: 1
    Source: Boletim da Sociedade Paranaense de Matemática

  • Title: Generalized fractional integral and derivative formulas for a product of ℵ-function and a general class of polynomials
    Authors: R.K. Gupta, B.S. Shaktawat, D. Kumar
    Year: 2016
    Citations: 1
    Source: Journal of Chemical, Biological and Physical Sciences (Section C: Physical)

  • Title: Certain fractional integrals of generalized Bessel functions of the first kind
    Authors: D. Kumar
    Year: 2016
    Citations: 1
    Source: Asian Journal of Mathematics and Computer Research, 11(4), 304–314

  • Title: The product of Bessel functions of the first kind with fractional calculus operators involving Appell hypergeometric function
    Authors: D. Kumar, J. Ram
    Year: 2012
    Citations: 1
    Source: International Journal of Advanced Mathematics and Statistics, 1(1), 17–33

  • Title: Unified finite integrals involving multivariable A-functions and hypergeometric functions
    Authors: D. Kumar, F. Ayant
    Year: 2025
    Source: Analysis, 2025

  • Title: A unified study of the Fourier series involving the Aleph-function of two variables
    Authors: D. Kumar, F. Ayant
    Year: 2025
    Source: Acta Universitatis Sapientiae Mathematica, 16(2), 249–262

  • Title: On fractional -integral representations of the modified Aleph-function of two variables
    Authors: D. Kumar, F. Ayant
    Year: 2025
    Source: Advances in Mathematical Sciences and Applications, 34(2), 579–596

  • Title: A general fractional integral operator of the product of a general class of multivariable polynomials and the multivariable Aleph-function
    Authors: D. Kumar, F. Ayant, K.S. Nisar
    Year: 2025
    Source: Advances in Mathematical Sciences and Applications, 34(2), 505–520

Conclusion 🌟

Dr. Dinesh Kumar emerges as a leading academic and researcher whose contributions in applied mathematics are both deep and far-reaching. His strong academic foundation, extensive teaching background, robust international exposure, and celebrated research achievements make him a highly deserving candidate for prestigious academic recognitions, including the Best Researcher Award 🏅. With expertise in advanced mathematical concepts and global collaborations, Dr. Kumar exemplifies dedication, innovation, and impact. His journey is a testament to scholarly excellence, continuous learning, and commitment to academic growth 🌐. As he continues to contribute to science and education, Dr. Kumar remains a source of inspiration and leadership in the mathematical research community 📈.

Danko Jocic | Pure Mathematics | Outstanding Pure Mathematics Contribution

Prof. Dr. Danko Jocic | Pure Mathematics | Outstanding Pure Mathematics Contribution

Professor at University of Belgrade, Faculty of mathematics, Serbia

Prof. Dr. Danko Jocić is a distinguished mathematician specializing in functional analysis and operator theory, with a prolific research career spanning several decades. His contributions focus on norm inequalities, operator inequalities, perturbation theory, and elementary operators in norm ideals. He has authored numerous high-impact journal articles in prestigious international publications such as the Journal of Functional Analysis, Proceedings of the American Mathematical Society, and Linear Algebra and Its Applications. His research has significantly advanced understanding in areas like Schatten ideals, noncommutative analysis, and operator monotone functions. Additionally, he has co-authored influential books and book chapters, furthering mathematical knowledge dissemination. Prof. Jocić has mentored doctoral students and actively contributed to the academic community through award presentations and editorial work. His extensive body of work and leadership in mathematical research make him a strong candidate for the Best Researcher Award, recognizing his profound influence in pure and applied mathematics.

Professional Profile 

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Education

Prof. Dr. Danko Jocić is a distinguished mathematician specializing in functional analysis and operator theory. He obtained his undergraduate, master’s, and doctoral degrees from esteemed institutions, demonstrating academic excellence throughout his education. His doctoral research focused on advanced topics in operator theory, laying the foundation for his prolific contributions to mathematical inequalities and functional analysis. Under the mentorship of leading experts, he developed a deep understanding of norm inequalities, derivations, and spectral theory, which later became central to his research. His education equipped him with the analytical skills necessary to explore perturbation inequalities, operator ideals, and noncommutative analysis. Throughout his academic journey, he engaged in rigorous training, attending specialized courses and participating in mathematical awards, further refining his expertise. His solid educational background has been instrumental in shaping his career as a leading researcher, educator, and mentor in the field of mathematical sciences.

Professional Experience

Prof. Dr. Danko Jocić is a distinguished mathematician specializing in functional analysis, operator theory, and norm inequalities. With a prolific academic career, he has authored numerous research papers in high-impact international journals, including the Journal of Functional Analysis, Linear Algebra and Its Applications, and Complex Analysis and Operator Theory. His contributions focus on operator inequalities, perturbation theory, and Schatten ideals, significantly advancing the field of mathematical analysis. He has co-authored influential monographs and book chapters, further enriching the mathematical community. Prof. Jocić has presented his research at prestigious international awards and has mentored multiple doctoral students, shaping future generations of mathematicians. His expertise and dedication to advancing operator theory have earned him recognition as a leading researcher in mathematical sciences. Through his extensive publication record and academic leadership, he continues to contribute profoundly to the study of mathematical operators and functional analysis.

Research Interest

Prof. Dr. Danko Jocić’s research interests lie in functional analysis, operator theory, and norm inequalities, with a particular focus on elementary operators, norm ideals of compact operators, and perturbation theory. His work extensively explores inequalities related to self-adjoint operators, Schatten-von Neumann classes, and various integral transformations in operator algebras. He has contributed significantly to the study of Cauchy-Schwarz, Minkowski, Landau, and Grüss-type inequalities, refining classical operator inequalities and extending them to new mathematical structures. Additionally, his research encompasses norm estimates for derivations, noncommutative analysis, and inequalities for hypercontractive quasinormal operators. Prof. Jocić has collaborated on developing new mathematical tools for studying accretive and quasinormal operators, leading to applications in functional spaces and spectral theory. His contributions, published in prestigious international journals, demonstrate a deep commitment to advancing mathematical understanding in the field of operator theory and its broader implications in functional analysis.

Award and Honor

Prof. Dr. Danko Jocić is a distinguished mathematician renowned for his contributions to functional analysis, operator theory, and norm inequalities. With an extensive body of research published in prestigious international journals, he has significantly advanced the understanding of elementary operators, Schatten ideals, and norm inequalities in compact operator theory. His scholarly impact is further evidenced by his authorship of influential books and monographs, as well as his mentorship of doctoral students, shaping the next generation of mathematicians. Throughout his career, Prof. Jocić has received recognition for his exceptional research, including invitations to present at esteemed mathematical awards and symposiums worldwide. His work has been cited extensively, demonstrating its lasting influence on the field. As a respected academic, he has also played a vital role in the mathematical community, contributing to the development of contemporary operator theory. His unwavering dedication and scholarly excellence make him a deserving candidate for prestigious research awards.

Conclusion

Prof. Dr. Danko Jocić is a distinguished researcher in the field of functional analysis and operator theory, with a prolific academic career marked by high-impact publications in prestigious international journals. His contributions span a wide range of topics, including norm inequalities, elementary operators, and generalized derivations, showcasing both depth and innovation in mathematical research. His work has been widely cited, demonstrating its relevance and influence within the mathematical community. Additionally, his role as a mentor for doctoral students highlights his commitment to academic development and knowledge dissemination. Despite his impressive contributions, continued engagement in cutting-edge research and interdisciplinary collaborations could further enhance his global recognition. Overall, his extensive body of work, leadership in mathematical research, and dedication to education make him a strong candidate for the Best Researcher Award, solidifying his status as a key figure in contemporary mathematical analysis.

Publications Top Noted

  • Norm Estimates for Remainders of Noncommutative Taylor Approximations for Laplace Transformers Defined by Hyperaccretive Operators
    Author: Jocić, D.R.
    Year: 2024
    Citations: 0
  • Norm Inequalities for the Iterated Perturbations of Laplace Transformers Generated by Accretive N-Tuples of Operators in Q and Q Ideals of Compact Operators*
    Authors: Jocić, D.R., Golubović, Z.L., Krstić, M., Milašinović, S.
    Year: 2024
    Citations: 1
  • Norm Inequalities for Hyperaccretive Quasinormal Operators, with Extensions of the Arithmetic-Geometric Means Inequality
    Authors: Jocić, D.R., Lazarević, M.
    Year: 2024
    Citations: 2
  • Noncommutative Pick–Julia Theorems for Generalized Derivations in Q, Q and Schatten–von Neumann Ideals of Compact Operators*
    Author: Jocić, D.R.
    Year: 2023
    Citations: 2
  • Norm Inequalities for Hypercontractive Quasinormal Operators and Related Higher Order Sylvester–Stein Equations in Ideals of Compact Operators
    Authors: Jocić, D.R., Lazarević, M.
    Year: 2023
    Citations: 1
  • Noncommutative Schwarz Lemma and Pick–Julia Theorems for Generalized Derivations in Norm Ideals of Compact Operators
    Author: Jocić, D.R.
    Year: 2022
    Citations: 3
  • Perturbation Norm Inequalities for Elementary Operators Generated by Analytic Functions with Positive Taylor Coefficients
    Authors: Jocić, D.R., Lazarević, M., Milović, M.
    Year: 2022
    Citations: 1
  • Cauchy–Schwarz Norm Inequalities for Elementary Operators and Inner Product Type Transformers Generated by Families of Subnormal Operators
    Authors: Jocić, D.R., Lazarević, M.
    Year: 2022
    Citations: 3
  • Cauchy–Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications
    Authors: Jocić, D.R., Lazarević, M.
    Year: 2022
    Citations: 0
  • Extensions of the Arithmetic–Geometric Means and Young’s Norm Inequalities to Accretive Operators, with Applications
    Authors: Jocić, D.R., Krtinić, Đ., Lazarević, M.
    Year: 2022
    Citations: 6