Now showing items 1-5 of 5
On Alternating Weighted Binomıal Sums With Falling Factorıals
(Int Center Scientific Research & Studies, 2017)
In this paper, by inspiring from earlier recent works on weighted binomial sums, we introduce and compute new kinds of binomial sums including rising factorial of the summation indices.
Two Variants of the Reciprocal Super Catalan Matrix
(Kyungpook National University, 2016-06)
In this paper, we define two kinds variants of the super Catalan matrix as well as their q-analoques. We give explicit expressions for LU-decompositions of these matrices and their inverses.
A curious matrix-sum identity and certain finite sums identities
(World Scientific Publishing Co. Pte Ltd, 2015-09)
In this paper, we consider two generalized binary sequences and then give a generalization of a matrix equality proposed as an advanced problem. Then, we derive new certain finite sums including the generalized binary ...
Generalized Binomial Convolution Of The Mth Powers Of The Consecutive Integers With The General Fibonacci Sequence
(De Gruyter Open Ltd, 2016-12)
In this paper, we consider Gauthier's generalized convolution and then define its binomial analogue as well as alternating binomial analogue. We formulate these convolutions and give some applications of them.
Formulas for binomial sums including powers of fibonacci and lucas numbers
(Politechnica University of Bucharest, 2015)
Recently Prodinger  proved general expansion formulas for sums of powers of Fibonacci and Lucas numbers. In this paper, we will prove general expansion formulas for binomial sums of powers of Fibonacci and Lucas numbers.