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The 2-variable unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials

, 2018
In this paper, we introduce The 2-variable unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials and derive some implicit summation formulae and general symmetry identities. The result extend some known summations and identities of generalized Bernoulli, Euler and Genocchi numbers and polynomials.
El-Desouky, Beih S., Gomaa, Rabab S., Magar, Alia M.   +2 more
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A new generalization of Apostol type Hermite-Genocchi polynomials and its applications. [PDF]

Springerplus, 2016
Araci S, Khan WA, Acikgoz M, Özel C, Kumam P.   +4 more
europepmc   +1 more source

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A family of Apostol–Euler polynomials associated with Bell polynomials

Analysis, 2023
Abstract Many authors investigated the characteristics of the Bell, Euler, Bernoulli, and Genocchi polynomials because of their numerous uses in statistics, number theory, and other branches of science. A generating function for mixed-type Apostol–Euler polynomials of order η related with Bell polynomials is presented in this study.
Nabiullah Khan, Saddam Husain
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Evaluation of Apostol–Euler Based Poly Daehee Polynomials

International Journal of Applied and Computational Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saif, Mohd., Nadeem, Raghib
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Some relations among Apostol-Euler polynomials, Changhee and Stirling numbers

AIP Conference Proceedings, 2020
In this note, we give some relations among Apostol-Bernoulli numbers and polynomials, Apostol-Euler numbers and polynomials, Changhee numbers and polynomials, Stirling numbers and the numbers Yn(λ) and the polynomials Yn(x; λ). Also we show that the series defined by the Changhee Numbers is convergent.
Busra Al, Mustafa Alkan
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A note on the Apostol--Bernoulli and Apostol--Euler polynomials

Publicationes Mathematicae Debrecen, 2013
Let alpha is an element of N-0 = {0, 1, 2,.}. In this paper, we show provide several relationships between the generalized Apostol-Bernoulli polynomials B-n((alpha))(x; lambda) and the generalized Apostol-Euler polynomials E-n((alpha)) (x; lambda) which involve both the main results of LUO-SRIVASTAVA in [Q.-M. Luo and H. M.
Kim, MS Kim, Min-Soo, Hu, S Hu, Su
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A new unified family of generalized Apostol–Euler, Bernoulli and Genocchi polynomials

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Desouky, B. S., Gomaa, R. S.
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Remarks on generalized Apostol-Euler type polynomials and numbers

AIP Conference Proceedings, 2017
The aim of this paper is to give a new modification of the generating functions for the generalized second kind Apostol Euler type polynomials and numbers. We give a recusance relations of these numbers and polynomials. By applying differential operator to these gnarling functions, we derive some identities and relations for these numbers and ...
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Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

Russian Journal of Mathematical Physics, 2013
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Srivastava, H. M., Özarslan, M. A., Kaanoğlu, C.   +2 more
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Apostol-Euler polynomials and asymptotics for negative binomial reciprocals

2014
International ...
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