Yazar "Omur, Nese" için listeleme
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A curious matrix-sum identity and certain finite sums identities
Kilic, Emrah; Akkus, Ilker; Omur, Nese; Ulutas, Yucel T. (World Scientific Publ Co Pte Ltd, 2015)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 ... -
Formulas for binomial sums including powers of Fibonacci and Lucas numbers
Kilic, Emrah; Akkus, Ilker; Omur, Nese; Ulutas, Yucel Turker (Univ Politehnica Bucharest, Sci Bull, 2015)Recently Prodinger [2] 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. -
Generalized Binomial Convolution of the mth Powers of the Consecutive Integers with the General Fibonacci Sequence
Kilic, Emrah; Akkus, Ilker; Omur, Nese; Ulutas, Yucel T. (De Gruyter Open Ltd, 2016)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.