Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomial sums with Pell and Lucas polynomials as weight functions. Their special cases result in several interesting identities concerning Fibonacci and Lucas numbers
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
summary:We examine the $q$-Pell sequences and their applications to weighted partition theorems and ...
AbstractBy means of series rearrangement, we prove an algebraic identity on the symmetric difference...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...
We prove some finite sum identities involving reciprocals of the binomial and central binomial coeff...
Abstract In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the...
A brief survey of identities about reciprocal sums of products of elements in a binary recurrence se...
In this paper, the authors investigate two special families of series involving the reciprocal centr...
In this paper, we will give closed formulae for weighted and alternating weighted binomial sums with...
In this study, Pell, Pell-Lucas and Modified Pell numbers are investigated. Using Binet formulas for...
The three - term recurrence xn + yn = (x + y) · (xn-1 + yn-1) - xy · (xn-2 + yn-2) allows to express...
We present several polynomial congruences about sums with central binomial coefficients and harmonic...
We present several polynomial congruences about sums with central binomial coefficients and harmonic...
WOS: 000369178600007Recently Prodinger [2] proved general expansion formulas for sums of powers of F...
In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers ar...
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
summary:We examine the $q$-Pell sequences and their applications to weighted partition theorems and ...
AbstractBy means of series rearrangement, we prove an algebraic identity on the symmetric difference...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...
We prove some finite sum identities involving reciprocals of the binomial and central binomial coeff...
Abstract In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the...
A brief survey of identities about reciprocal sums of products of elements in a binary recurrence se...
In this paper, the authors investigate two special families of series involving the reciprocal centr...
In this paper, we will give closed formulae for weighted and alternating weighted binomial sums with...
In this study, Pell, Pell-Lucas and Modified Pell numbers are investigated. Using Binet formulas for...
The three - term recurrence xn + yn = (x + y) · (xn-1 + yn-1) - xy · (xn-2 + yn-2) allows to express...
We present several polynomial congruences about sums with central binomial coefficients and harmonic...
We present several polynomial congruences about sums with central binomial coefficients and harmonic...
WOS: 000369178600007Recently Prodinger [2] proved general expansion formulas for sums of powers of F...
In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers ar...
In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion...
summary:We examine the $q$-Pell sequences and their applications to weighted partition theorems and ...
AbstractBy means of series rearrangement, we prove an algebraic identity on the symmetric difference...
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