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Prasanna Kumar Nekkare

Professor

Complex Analysis
Office: A412, Department of Mathematics, BITS Pilani, K. K. Birla Goa Campus, Zuarinagar, Goa-403726

Recent Publications

  • Ritu Dhankhar and Prasanna Kumar, On the Sharpening of an Inequality due to Rivlin, Publications de l'Institut Mathématique, likely to appear in 2024.
  • Prasanna Kumar, On a Complex Polynomial and Its Derivative, C. R. Acad. Bulg. Sci. , 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.
  • N. K. Govil and P. Kumar, On Sharpening of an Inequality of Turan, Applicable Analysis and Discrete Mathematics, 13, 711-720,  2019.
  • Prasanna Kumar, Some Integral Inequalities for the Polar Derivative of   Polynomials, Publications de l’institut Mathématique, 106(120), 85-94, 2019.
  • Prasanna Kumar, On Zygmund-type Inequalities Involving Polar Derivative of a Lacunary-type Polynomial, Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie, 62(110) (2), 155-164, 2019.

IN BOOKS

  •  Prasanna Kumar, Topology in GIS:Applications,  Chapter in the book entitled Encyclopedia of Image Processing (Editor-in-Chief: Phillip A. Laplante, Pennsylvania State University,  U.S.A), Taylor & Francis, 2018. 
  • N. K. Govil and P. Kumar, On the Bernstein-type Inequalities for the Polar Derivative of a Complex Polynomial, Chapter 2, in the book entitled Progress in Approximation Theory and Applicable Complex Analysis (Editors: Govil, N. K.,  Mohapatra, R., Quazi, M., Schmeisser, G.), Springer International, 41-74, 2017. 

EXPOSITORY ARTICLES

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

IN CONFERENCES
                                                                                         

  • 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.
  • Ritu Dhankhar and Prasanna Kumar,  On the Generalization of Turan's Inequality for the Derivative of a. Polynomial,  Paper presented at  1151th American Mathematical Society sectional meeting held at Binghampton University, Binghampton, New York, USA during October 12-13, 2019.
  • Prasanna Kumar and Ritu Dhankhar, On an Inequality of Turan,  Paper presented at 1148th American Mathematical Society sectional meeting held at University of Connecticut Hartford, USA during April 13-14, 2019.