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.
引用
收藏
页数：20
相关论文
共 42 条
  • [31] An integral operator associated with the Hurwitz-Lerch Zeta function and differential subordination
    Srivastava, H. M.
    Attiya, A. A.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (03) : 207 - 216
  • [32] Some further properties of a linear operator associated with the λ-generalized Hurwitz-Lerch zeta function related to the class of meromorphically univalent functions
    Srivastava, H. M.
    Gaboury, S.
    Ghanim, F.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 1019 - 1029
  • [33] UNIVALENCY AND STARLIKENESS OF NORMALIZED HURWITZ-LERCH ZETA FUNCTION INSIDE UNIT DISK
    Bansal, Deepak
    Sokol, Janusz
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (03): : 863 - 871
  • [34] Geometric Features of the Hurwitz-Lerch Zeta Type Function Based on Differential Subordination Method
    Abdulnabi, Faten F.
    Al-Janaby, Hiba F.
    Ghanim, Firas
    Lupas, Alina Alb
    SYMMETRY-BASEL, 2024, 16 (07):
  • [35] On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz-Lerch Zeta Functions
    Al-Janaby, Hiba
    Ghanim, Firas
    Darus, Maslina
    MATHEMATICS, 2020, 8 (05)
  • [36] A Triple Integral involving the Struve function Hv(t) expressed in terms of the Hurwitz-Lerch zeta Function
    Reynolds, Robert
    Stauffer, Allan
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 437 - 442
  • [37] Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions
    Ghanim F.
    Batiha B.
    Ali A.H.
    Darus M.
    Applied Mathematics and Nonlinear Sciences, 2023, 8 (02) : 2229 - 2240
  • [38] k-ary Lyndon Words and Necklaces Arising as Rational Arguments of Hurwitz-Lerch Zeta Function and Apostol-Bernoulli Polynomials
    Kucukoglu, Irem
    Bayad, Abdelmejid
    Simsek, Yilmaz
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
  • [39] A NOTE ON INTEGRAL REPRESENTATION OF SOME GENERALIZED ZETA FUNCTIONS AND ITS CONSEQUENCES
    Mehrez, Khaled
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021, 24 (01): : 235 - 246
  • [40] A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials
    Kucukoglu, Irem
    Simsek, Yilmaz
    Srivastava, H. M.
    QUAESTIONES MATHEMATICAE, 2019, 42 (04) : 465 - 478
12345