Study of Gegenbauer Matrix Polynomials Via Matrix Functions and their Properties

  • Virender Singh Department of Applied Mathematics, Galgotia college of Engineering and Technology, Greater Noida-201306, India.
  • Archna Sharma SOVSAS Department of Applied Mathematics, Gautam Buddha University, Greater Noida-201312, India.
  • Mumtaz Ahmad Khan Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India.
  • Abdul Hakim Khan Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh{202002, India.
Keywords: Gamma matrix function, Hypergeometric matrix function, Three term matrix recurrence relation, Gegenbauer matrix dierential equation, Gegenbauer matrix polynomials, Orthogonal matrix Polynomials

Abstract

The present paper deals with a new kind of Gegenbauer matrix polynomials and some special cases. The paper contains a three term matrix recurrence relation, hypergeometric representation, their Rodrigues formula and orthogonal properties.

Published
2019-10-23
How to Cite
Singh, V., Sharma, A., Khan, M. A., & Khan, A. H. (2019). Study of Gegenbauer Matrix Polynomials Via Matrix Functions and their Properties. Advances in Mathematics and Computer Science Vol. 3, 73-87. Retrieved from https://stm1.bookpi.org/index.php/amacs-v3/article/view/514
Issue
Advances in Mathematics and Computer Science Vol. 3
Section
Chapters