Families of higher order q-Euler numbers and polynomials

KOPARAL, SİBEL; Duran, Omer; ÇETİNKAYA, SÜLEYMAN; ÖMÜR, NEŞE

doi:10.2298/fil2423251k

Families of higher order q-Euler numbers and polynomials

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

FILOMAT, sa.23, ss.8251-8263, 2024 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2024
Doi Numarası: 10.2298/fil2423251k
Dergi Adı: FILOMAT
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
Sayfa Sayıları: ss.8251-8263
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.