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Prasanna Kumar Nekkare

Professor

Complex Analysis
Professor and Head
Department of Mathematics, BITS Pilani, K. K. Birla Goa Campus, Zuarinagar, Goa-403726.
office No.: A412 and A418 (HoD)

Recent Publications

IN JOURNALS

  • Roman R Akopyan, Prasanna Kumar and G.V. Milovanovic, On the Inequalities of Zygmund and de Bruijn, Analysis Mathematica, 50, 967-986, 2024.
  • Ritu Dhankhar and Prasanna Kumar, On the Sharpening of an Inequality due to Rivlin, Publications de l'Institut Mathématique, 115(129), 117–129, 2024.
  • Prasanna Kumar, On a Complex Polynomial and Its Derivative, Comptes Rendus de l'Academie Bulgare des Sciences, 76, 1645–1655, 2023.
  • Prasanna Kumar, On the Growth of Polynomials, Acta Mathematica Hungerica, 168, 443-453, 2022. 
  •  Prasanna Kumar, On the Erdos–Lax Inequality, Comptes Rendus Mathématique, 360, 1081-1085, 2022.
  •  Prasanna Kumar, On the Derivative of a Polynomial, Proceedings of Edinburgh Mathematical Society, 65(2), 303-310, 2022.
  • Prasanna Kumar and G.V. Milovanovic, On Sharpening and Generalization of Rivlin's Inequality,  Turkish Journal of Mathematics,  46(4), 1436-1445, 2022.
  • Prasanna Kumar and  Ritu Dhankhar, On the Location of Zeros of Polynomials, Complex Analysis and Operator Theory, 16(1), 1-13, 2022.
  • Prasanna Kumar,  A Remark on a Theorem of Rivlin,  Comptes Rendus de l'Academie Bulgare des Sciences, 74(12), 1723-1728, 2021.
  • Prasanna Kumar and Ritu Dhankhar,  Some Refinements of Inequalities for Polynomials, Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 63 (111)(4), 359-367, 2020.
  • Prasanna Kumar, On the Inequalities Concerning Polynomials, Complex Analysis and Operator Theory,  14(6), 1-11, 2020.  
  • Ritu Dhankhar and Prasanna  Kumar, A Remark on a Generalization of the Cauchy’s Bound, Comptes Rendus de l'Academie Bulgare des Sciences, 73(10),  1333-1339, 2020.
  • Ritu Dhankhar, Narendra Kumar Govil and Prasanna  Kumar, On Sharpening of Inequalities for a Class of Polynomials Satisfying p(z) Ξzn p(1/z), Studia Scientiarum Mathematicarum Hungarica, 57(2), 255-266, 2020.

IN BOOKS

  • Prasanna Kumar, Lp Inequalities for Polar Derivatives of Polynomials,  Chapter in the book titled Contemporary Approaches to Approximation of Operators (Editors: Gradimir Milovanovic and Vijay Gupta), Springer International, 2026.

EXPOSITORY ARTICLES

  • Prasanna Kumar,  The Sendov Conjecture for Polynomials, The Mathematics Student, 88 (1-2),  (2019), 95-112.

IN CONFERENCES

  • Poonam Babani Rane and Prasanna Kumar, On the generalizations and refinements of Rivlin’s Inequality, Paper presented in American Mathematical Society contributed paper session in AMS Fall Eastern Virtual Sectional Meeting held virtually during October 25-26. 2025.
  • Ritu Dhankhar and Prasanna Kumar, On an Inequality due to Rivlin, Paper presented in American Mathematical Society contributed paper session at  Joint Mathematics Meeting -2022, held virtually during April  06-09, 2022.
  • Ritu Dhankhar and Prasanna Kumar, On the  Location of  Zeros  of   Polynomials,  Paper presented at  1151th American Mathematical Society Fall Western sectional meeting at Department of Mathematics and Statistics, University of New Mexico,  Albuquerque, New Mexico, during October 23-24, 2021.