Some generalizations of the Apostol–Genocchi polynomials and the Stirling numbers of the second kind

Recently, the authors introduced some generalizations of the Apostol–Bernoulli polynomials and the Apostol–Euler polynomials (see [Q.-M. Luo, H.M. Srivastava, J. Math. Anal. Appl. 308 (2005) 290–302] and [Q.-M. Luo, Taiwanese J. Math. 10 (2006) 917–925]). The main object of this paper is to investig...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 217; no. 12; pp. 5702 - 5728
Main Authors:	Luo, Qiu-Ming, Srivastava, H.M.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.02.2011 Elsevier
Subjects:	Algebra Analogue Apostol–Bernoulli polynomials and Apostol–Euler polynomials of higher order Apostol–Genocchi numbers and Apostol–Genocchi polynomials Apostol–Genocchi numbers and Apostol–Genocchi polynomials of higher order Computation Difference and functional equations, recurrence relations Error correction Exact sciences and technology Functions of a complex variable Gaussian Genocchi numbers and Genocchi polynomials of higher order Hurwitz (or generalized), Hurwitz–Lerch and Lipschitz–Lerch zeta functions Hypergeometric functions Lerch’s functional equation Mathematical analysis Mathematical models Mathematics Number theory Numerical analysis Numerical analysis. Scientific computation Representations Sciences and techniques of general use Special functions Srivastava’s formula and Gaussian hypergeometric function Stirling numbers and the λ-Stirling numbers of the second kind Lerch’s functional equation Hurwitz (or generalized), Hurwitz–Lerch and Lipschitz–Lerch zeta functions Srivastava’s formula and Gaussian hypergeometric function Genocchi numbers and Genocchi polynomials of higher order Stirling numbers and the λ-Stirling numbers of the second kind Apostol–Genocchi numbers and Apostol–Genocchi polynomials of higher order Apostol–Bernoulli polynomials and Apostol–Euler polynomials of higher order Apostol–Genocchi numbers and Apostol–Genocchi polynomials Transcendental equation Apostol-Bernoulli polynomials and Error estimation Euler polynomial Srivastava's formula and Gaussian hypergeometric function Recurrence relation Functional equation Hurwitz (or generalized), Hurwitz-Lerch and Lipschitz-Lerch zeta functions Difference equation Apostol-Genocchi numbers and Apostol-Genocchi polynomials Lerch's functional equation Numerical analysis Applied mathematics Apostol―Genocchi numbers and Apostol-Genocchi polynomials of higher order Hypergeometric function Zeta function Lipschitz function Apostol―Euler polynomials of higher order
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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