A New Generalization of Delannoy Numbers


DAĞLI M. C.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.51, no.4, pp.1729-1735, 2020 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 51 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1007/s13226-020-0492-7
  • Journal Name: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.1729-1735
  • Keywords: Orthogonal polynomial, identity, recurrence relation
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, a new extension for Delannoy numbers is presented. Also, several identities such as generating function and recurrence relations for these numbers are obtained.