Certain Combinatorial Properties of Twin Triplets Related to Tchebychev Polynomials


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Authors

  • R. Rangarajan Department of Studies in Mathematics, University of Mysore, Mysore, India
  • P. Shashikala Department of Studies in Mathematics, University of Mysore, Mysore, India
  • C. K. Honnegowda Department of Studies in Mathematics, University of Mysore, Mysore, India

Keywords:

Combinatorial Identities, Continued fractions, Functions of hypergeometric type in one and severable variables

Abstract

In the present paper, Tchebychev polynomials $U_{n}(x)$, $V_{n}(x)=U_{n}(x)-\,U_{n-1}(x)$ and $W_{n}(x)=U_{n}(x)+\,U_{n-1}(x)$ are extended to two variables. Twin triplets of numbers $(y_{n},d_{n},s_{n})$ and $(Y_{n},D_{n},S_{n})$ are defined and their certain combinatorial properties are described.

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Published

15-12-2016

How to Cite

R. Rangarajan, P. Shashikala, & C. K. Honnegowda. (2016). Certain Combinatorial Properties of Twin Triplets Related to Tchebychev Polynomials. International Journal of Mathematics And Its Applications, 4(4), 1–10. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/949

Issue

Vol. 4 No. 4 (2016)

Section

Research Article

License

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