A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function [PDF]
Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function [PDF]
Abstract and Applied Analysis, 2013 By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for ...
S. Gaboury, A. Bayad
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Some Formulae of Products of the Apostol-Bernoulli and Apostol-Euler Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2012 Some formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials are established by applying the generating function methods and some summation transform techniques, and various known results are derived as special cases.
Yuan He, Chunping Wang
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Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2013 In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials.
Acikgoz, Mehmet +2 more
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An Extended Generalized q-Extensions for the Apostol Type Polynomials
Abstract and Applied Analysis, 2018 Through a modification on the parameters associated with generating function of the q-extensions for the Apostol type polynomials of order α and level m, we obtain some new results related to a unified presentation of the q-analog of the generalized ...
Letelier Castilla +2 more
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Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials
International Journal of Mathematics and Mathematical Sciences, 2012 The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials ...
R. Tremblay, S. Gaboury, B.-J. Fugère
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Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials
Axioms, 2012 The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius–Euler polynomials and numbers).
Yilmaz Simsek
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Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
Computers & Mathematics with Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Qiu-Ming, Srivastava, H.M.
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APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER AND GAUSSIAN HYPERGEOMETRIC FUNCTIONS
Taiwanese Journal of Mathematics, 2006 The purpose of this paper is to give analogous definitions of Apostol type (see T. M. Apostol [Pacific J. Math. 1 (1951), 161-167]) for the so-called Apostol-Euler numbers and polynomials of higher order. We establish their elementary properties, obtain several explicit formulas involving the Gaussian hypergeometric function and the Stirling numbers of
Qiu-Ming Luo
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Apostol-Euler polynomials arising from umbral calculus [PDF]
Advances in Difference Equations, 2013 In this paper, by using the orthogonality type as defined in the umbral calculus, we derive explicit formula for several well known polynomials as a linear combination of the Apostol-Euler polynomials.
Kim, Taekyun +2 more
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