A family of incomplete hurwitz-lerch zeta functions of two variables
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Miskolc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Inspired essentially by the work [H. M. Srivastava, M. A. Chaudhry and R. P. Agarwal [The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct. 23 (2012), 659-683] (see [16])], we introduce the families of the incomplete Hurwitz-Lerch Zeta functions of two variables. We then give the integral representations including the Mellin-Barnes contour integral representation, summation formulas, derivative formulas and recurrence relations for the incomplete Hurwitz-Lerch Zeta functions of two variables. © 2020 Miskolc University Press.
Açıklama
Anahtar Kelimeler
Appell hypergeometric function, Beta function, Derivative formulas, Gamma function, Humbert hypergeometric functions of two variables, Hurwitz-lerch zeta function, Hurwitz-lerch zeta function of two variables, Incomplete appell hypergeometric functions, Incomplete confluent hypergeometric functions, Incomplete gamma functions, Incomplete pochhammer symbols, Integral representations, Mellin-Barnes integral formula, Pochhammer symbol, Recurrence relation, Summation formula
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
21
Sayı
1
