GENERALIZED BINOMIAL CONVOLUTION OF THE mth POWERS OF THE CONSECUTIVE INTEGERS WITH THE GENERAL FIBONACCI SEQUENCE

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Kilic E., Akkus I., ÖMÜR N., Ulutas Y.

DEMONSTRATIO MATHEMATICA, vol.49, no.4, pp.379-385, 2016 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.1515/dema-2016-0032
  • Journal Name: DEMONSTRATIO MATHEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.379-385
  • Kocaeli University Affiliated: Yes

Abstract

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.