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Öğe A curious matrix-sum identity and certain finite sums identities(World Scientific Publ Co Pte Ltd, 2015) Kilic, Emrah; Akkus, Ilker; Omur, Nese; Ulutas, Yucel T.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 sequences as applications.Öğe Generalized Binomial Convolution of the mth Powers of the Consecutive Integers with the General Fibonacci Sequence(De Gruyter Open Ltd, 2016) Kilic, Emrah; Akkus, Ilker; Omur, Nese; Ulutas, Yucel T.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.
