IJPAM: Volume 64, No. 2 (2010)
THEIR APPLICATIONS
1,2,3Institute of Mathematics
Silesian University of Technology
23, Kaszubska, Gliwice, 44-100, POLAND
3e-mail: damian.slota@polsl.pl
Abstract. The aim of this paper is to present two fundamental applications of
the, so called, Prodinger's algebraic identities. On the one hand we
will receive the wide class of trigonometric identities, including
identities for Chebyshev polynomials of the first and second kinds.
On the second hand we will present the generalizations for Fibonacci
and Lucas polynomials of some identities, proved by Prodinger
for Fibonacci and Lucas numbers.
Received: June 4, 2010
AMS Subject Classification: 12D05, 11B39, 11B83
Key Words and Phrases: Prodinger's identities, Kummer identities, Chebyshev polynomials, Fibonacci polynomials, Lucas polynomials
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 64
Issue: 2