Families of higher order q-Euler numbers and polynomials

KOPARAL S., Duran O., ÇETİNKAYA S., ÖMÜR N.

FILOMAT, no.23, pp.8251-8263, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2423251k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.8251-8263
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we define new type q-Euler numbers and polynomials with the help of p-adic q-integrals. Using the techniques of p-adic integral, the method of generating functions, and combinatorial techniques, some interesting sums and relations between them are calculated.