Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1687-1847-2013-361.pdf
Reference30 articles.
1. Bayad A, Chikhi J: Reduction and duality of the generalized Hurwitz-Lerch zetas. Fixed Point Theory Appl. 2013., 2013: Article ID 82
2. Garg M, Jain K, Srivastava HM: Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions. Integral Transforms Spec. Funct. 2006, 17(11):803-815. 10.1080/10652460600926907
3. Srivastava HM: Some formulas for the Bernoulli and Euler polynomials at rational arguments. Math. Proc. Camb. Philos. Soc. 2000, 129: 77-84. 10.1017/S0305004100004412
4. Srivastava HM, Chaudhry MA, Qadir A, Tassaddiq A: Some extensions of the Fermi-Dirac and Bose-Einstein functions with applications to the family of the zeta and related functions. Russ. J. Math. Phys. 2011, 18(1):107-121. 10.1134/S1061920811010110
5. Raducanu D, Srivastava HM: A new class of analytic functions defined by means of a convolution operator involving the Hurwitz-Lerch zeta function. Integral Transforms Spec. Funct. 2007, 18: 933-943. 10.1080/10652460701542074
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1. A Note on the Truncated-Exponential Based Apostol-Type Polynomials;Symmetry;2019-04-15
2. Further results involving a class of generalized Hurwitz-Lerch zeta functions;Russian Journal of Mathematical Physics;2014-10
3. FURTHER HYPERGEOMETRIC IDENTITIES DEDUCIBLE BY FRACTIONAL CALCULUS;Communications of the Korean Mathematical Society;2014-07-31
4. Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus;Advances in Difference Equations;2014-06-23
5. New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications;International Journal of Analysis;2014-05-13
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