A New Representation for Srivastava's λ-Generalized Hurwitz-Lerch Zeta Functions

被引：10
|
作者：
Tassaddiq, Asifa [1 ]
机构：
[1] Majmaah Univ, Coll Comp & Informat Sci, Majmaah 11952, Saudi Arabia
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 12期
关键词：
Hurwitz-Lerch zeta function; generalized functions; analytic number theory; lambda-generalized Hurwitz-Lerch zeta functions; derivative properties; series representation; FOURIER-TRANSFORM REPRESENTATION; BOSE-EINSTEIN FUNCTIONS; FERMI-DIRAC; FAMILY; EXTENSIONS;
D O I：
10.3390/sym10120733
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Taking inspiration principally from some of the latest research, we develop a new series representation for the lambda-generalized Hurwitz-Lerch zeta functions. This representation led to important new results. The Fourier transform played a foundational role in this work. The duality property of the Fourier transform became significant for checking the consistency of the results. Some known data has been verified as special cases of the results obtained in this investigation.
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页数：20
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