Results 11 to 20 of about 1,076 (103)
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 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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Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
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 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.
openaire +4 more sources
On Apostol-Type Hermite Degenerated Polynomials
Mathematics, 2023 This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m.
Clemente Cesarano +4 more
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m
Математичні Студії, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya +3 more
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Applications and Properties for Bivariate Bell‐Based Frobenius‐Type Eulerian Polynomials
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce sine and cosine Bell‐based Frobenius‐type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and ...
Waseem Ahmad Khan +3 more
wiley +1 more source
Generalized Fubini Apostol‐Type Polynomials and Probabilistic Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The paper aims to introduce and investigate a new class of generalized Fubini‐type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials.
Rabab S. Gomaa +2 more
wiley +1 more source
Unification of Two‐Variable Family of Apostol‐Type Polynomials with Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, the two‐variable unified family of generalized Apostol‐type polynomials is introduced, and some implicit forms and general symmetry identities are derived. Also, we obtain new degenerate Apostol‐type numbers and polynomials constructed from the new 2‐variable unified family.
Beih S. El-Desouky +3 more
wiley +1 more source
A Family of Generalized Legendre-Based Apostol-Type Polynomials
Axioms, 2022 Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields.
Talha Usman +3 more
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