About extensions of generalized Apostol-type polynomials [PDF]
Results in Mathematics, 2015 Under a slight modification on the parameters associated to the generalized Apostol-type polynomials and the use of the generating method, we obtain some new results concerning extensions of generalized Apostol-type polynomials.
Hernández Llanos, Pedro +2 more
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On unified Gould-Hopper based Apostol-type polynomials
Journal of Mathematics and Computer Science, 2021 In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation method.
W. Khan +4 more
semanticscholar +5 more sources
Generalized Fubini Apostol-Type Polynomials and Probabilistic Applications
International Journal of Mathematics and Mathematical Sciences, 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.
R. Gomaa, A. Magar
semanticscholar +3 more sources
An extended generalized q -extensions for the apostol type polynomials [PDF]
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 and level m, we obtain some new results related to a unified presentation of the q-analog of the generalized ...
Castilla, Letelier +2 more
core +2 more sources
A Note on the Truncated-Exponential Based Apostol-Type Polynomials [PDF]
Symmetry, 2019 In this paper, we propose to investigate the truncated-exponential-based Apostol-type polynomials and derive their various properties. In particular, we establish the operational correspondence between this new family of polynomials and the familiar ...
H. Srivastava +3 more
semanticscholar +2 more sources
A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra [PDF]
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2013 The aim of this paper is to investigate and introduce some new identities related to the unification and generalization of the three families of generalized Apostol type polynomials, which are Apostol-Bernoulli, Apostol-Euler, and Apostol-Genocchi ...
R. Dere, Y. Simsek, H. Srivastava
semanticscholar +11 more sources
Certain Laguerre-based Generalized Apostol Type Polynomials
Tamkang Journal of Mathematics, 2020 A variety of polynomials, their extensions and variants have been extensively investigated, due mainly to their potential applications in diverse research areas.
Junesang Choi, N. Khan, T. Usman
semanticscholar +4 more sources
Unification of Two‐Variable Family of Apostol‐Type Polynomials with Applications
Journal of Mathematics, 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.
B. El-Desouky, R. Gomaa, A. Magar
semanticscholar +3 more sources
q-Extensions for the Apostol Type Polynomials [PDF]
Journal of Applied Mathematics, 2014 The aim of this work is to introduce an extension for -standard notations. The -Apostol type polynomials and study some of their properties. Besides, some relations between the mentioned polynomials and some other known polynomials are obtained.
N. Mahmudov, M. E. Keleshteri
semanticscholar +5 more sources
Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials [PDF]
Advances in Difference Equations, 2020 The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Bedoya, Daniel +3 more
core +8 more sources