Results 61 to 70 of about 1,076 (103)

Certain study of generalized Apostol-Bernoulli poly-daehee polynomials and its properties

, 2021
13pages
Khan, Nabiullah, Husain, Saddam
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Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials

Indian Journal of Pure and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boutiche, Mohamed Amine, Kargin, Levent, Rahmani, Mourad   +2 more
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Some Relationships between the Generalized Apostol-Bernoulli and Apostol-Euler Polynomials [PDF]

Turkish Journal of Analysis and Number Theory, 2016
The main objective of this paper is to introduce and investigate two new classes of generalized Apostol-Bernoulli polynomials B n [ m-1, α ] (x;c,α;λ) and Apostol-Euler polynomials e n [m-1, α ] (x;c,α;λ). In particular, we obtain addition formula for the new class of the generalized Apostol-Bernoulli polynomials.
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Asymptotic approximations of Apostol-Frobenius-Euler polynomials of order α in terms of hyperbolic functions

Demonstratio Mathematica
The study of special functions has become an enthralling area in mathematics because of its properties and wide range of applications that are relevant into other fields of knowledge.
Corcino Cristina B., Castañeda Wilson D., Corcino Roberto B.   +2 more
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Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis

, 2015
In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis.
Acikgoz, Mehmet, Araci, Serkan, Bagdasaryan, Armen, He, Yuan   +3 more
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Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials [PDF]

Mathematics of Computation, 2011
We find Fourier expansions of Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. We give a very simple proof of them.
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Identities on the k-ary Lyndon words related to a family of zeta functions

, 2016
The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785].
Kucukoglu, Irem, Simsek, Yilmaz
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Degenerate Fubini-type polynomials associated with degenerate Apostol-Bernoulli and Apostol-Euler polynomials of order ��

, 2021
In this paper, by introducing the degenerate Fubini-type polynomials, we give several relations with the help of the Fa di Bruno formula and some properties of Bell polynomials, and generating function methods. Also, we derive some new explicit formulas and recurrence relations for Fubini-type polynomials and numbers.
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New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials [PDF]

Advances in Difference Equations, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Combinatorial identities associated with new families of the numbers and polynomials and their approximation values

, 2017
Recently, the numbers $Y_{n}(\lambda )$ and the polynomials $Y_{n}(x,\lambda)$ have been introduced by the second author [22]. The purpose of this paper is to construct higher-order of these numbers and polynomials with their generating functions.
Kucukoglu, Irem, Simsek, Yilmaz
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