Asian Journal of Mathematics and Computer Research

CONVOLUTION IDENTITIES OF TWO VARIABLE TCHEBYCHEV POLYNOMIALS

R. RANGARAJAN

Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru - 570006, India.

C. K. HONNE GOWDA *

Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru - 570006, India.

*Author to whom correspondence should be addressed.

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Abstract

Two variable Tchebychev polynomials T_n( x, y) and U_n(x, y) are two interesting combinatorial entities given by 3 - term recurrence relations, binet forms and generating functions, which are quite different from those of Fibonacci and Lucas numbers. In recent literature many researchers had been working on convolution identities of L_n , n^th Lucas number and F_n, n^th Fibonacci number and similar entities. In the present paper, many convolution identities of T_n(x, y) and U_n(x, y)are worked out which are a worthy addition to the current literature on combinatorics.

Keywords: Combinatorial identities, tchebychev polynomials and convolution identities

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