Generalized Binomial Convolution of the mth Powers of the Consecutive Integers with the General Fibonacci Sequence

Generalized Binomial Convolution of the mth Powers of the Consecutive Integers with the General Fibonacci Sequence

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.

Bibliographic Details
Main Authors: Kılıç Emrah, Akkus Ilker, Ömür Nese, Ulutas Yücel T.
Format: Article
Language:English
Published: De Gruyter 2016-12-01
Series:Demonstratio Mathematica
Subjects:
binomial convolution
general Fibonacci sequence
Stirling numbers of the second kind
Online Access:http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0032/dema-2016-0032.xml?format=INT

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