Note on the Hurwitz-Lerch Zeta Function of Two Variables
Yükleniyor...
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MDPI
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A number of generalized Hurwitz-Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz-Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose to establish certain formulas and representations for this extended Hurwitz-Lerch zeta function such as integral representations, generating functions, derivative formulas and recurrence relations. We also point out that the results presented here can be reduced to yield corresponding results for several less generalized Hurwitz-Lerch zeta functions than the extended Hurwitz-Lerch zeta function considered here. For further investigation, among possibly various more generalized Hurwitz-Lerch zeta functions than the one considered here, two more generalized settings are provided.
Açıklama
Choi, Junesang/0000-0002-7240-7737; Yagci, Oguz/0000-0001-9902-8094
Anahtar Kelimeler
beta function, gamma function, Pochhammer symbol, Hurwitz–, Lerch zeta function, Hurwitz–, Lerch zeta function of two variables, hypergeometric functions, confluent hypergeometric functions, Appell hypergeometric functions, Humbert hypergeometric functions of two variables, integral representations, generating functions, derivative formulas, recurrence relation
Kaynak
SYMMETRY-BASEL
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
12
Sayı
9
Künye
Choi J, Şahin R, Yağcı O, Kim D. Note on the Hurwitz–Lerch Zeta Function of Two Variables. Symmetry. 2020; 12(9):1431. https://doi.org/10.3390/sym12091431
