The main purpose of this paper is to survey several sum formulae of (p; q)Fibonacci number Un and (p; q)Lucas number Vn by using the Örst and the second derivatives of the equations x n = x 2 p x + q 0 @ nX1 j=0 Uj x n1j 1 A + Un x qUn1 and 2 x n+1 p xn = x 2 p x + q 0 @ nX1 j=0 Vj x n1j 1
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
WOS: 000416732700006In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polyn...
We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with fin...
In this paper we obtain some formulae for several sums of generalized Fibonacci numbers U-n and gene...
In this paper, we obtain some binomial sum formulas for (p, q)-Fibonacci and (p, q)-Lucas quaternion...
Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are establ...
We present some new kinds of sums of squares of Fibonomial coefficients with finite products of gene...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...
We present several polynomial congruences about sums with central binomial coefficients and harmonic...
The original solution of Problem B-1166 in the problem section of this journal. It was acquired to p...
In this paper, we compute various binomial-double-sums involving the Fibonacci numbers as well as th...
In this paper, some Fibonacci and Lucas sums are derived by using the matrices S
In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions ...
WOS: 000369178600007Recently Prodinger [2] proved general expansion formulas for sums of powers of F...
Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomia...
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
WOS: 000416732700006In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polyn...
We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with fin...
In this paper we obtain some formulae for several sums of generalized Fibonacci numbers U-n and gene...
In this paper, we obtain some binomial sum formulas for (p, q)-Fibonacci and (p, q)-Lucas quaternion...
Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are establ...
We present some new kinds of sums of squares of Fibonomial coefficients with finite products of gene...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...
We present several polynomial congruences about sums with central binomial coefficients and harmonic...
The original solution of Problem B-1166 in the problem section of this journal. It was acquired to p...
In this paper, we compute various binomial-double-sums involving the Fibonacci numbers as well as th...
In this paper, some Fibonacci and Lucas sums are derived by using the matrices S
In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions ...
WOS: 000369178600007Recently Prodinger [2] proved general expansion formulas for sums of powers of F...
Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomia...
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
WOS: 000416732700006In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polyn...
We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with fin...