ON COMBINATORIAL IDENTITIES OF LUCAS AND FIBONACCI NUMBERS CONNECTED TO TCHEBYSHEV POLYNOMIALS

The present paper is on derivation of many combinatorial identities of xn = Tn (9), yn = Un-1 (9) , L6n+k = Lk xn +20 Fk yn and F6n+k = Fk xn +4 Lk yn , k=0,1,2,3,4,5 n=0,1,2,..., where Tn (x) and Un-1 (x) are the well known Tchebyshev polynomials of first and second kind and Ln and Fn are the well known Lucas and Fibonacci numbers.