Results 211 to 220 of about 2,037 (242)

Type 2 Degenerate Poly-Euler Polynomials

Symmetry, 2020
In recent years, many mathematicians have studied the degenerate versions of many special polynomials and numbers. The polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithms functions.
Kim Hye Kyung, Jang Lee-Chae, Hye Kyung Kim   +2 more
exaly   +2 more sources

Some results on the Apostol–Bernoulli and Apostol–Euler polynomials

Computers and Mathematics With Applications, 2008
The main object of this paper is to investigate the Apostol–Bernoulli polynomials and the Apostol–Euler polynomials. We first establish two relationships between the generalized Apostol–Bernoulli and Apostol–Euler polynomials.
Weiping Wang, Cangzhi Jia
exaly   +2 more sources

Remarks on some relationships between the Bernoulli and Euler polynomials

Applied Mathematics Letters, 2004
In a recent paper which appeared in this journal, Cheon [1] rederived several known properties and relationships involving the classical Bernoulli and Euler polynomials. The object of the present sequel to Cheon's work [1] is to show (among other things)
H M Srivastava, A Pintér
exaly   +2 more sources

Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials

Computers and Mathematics With Applications, 2006
Recently, Srivastava and Pintér [1] investigated several interesting properties and relationships involving the classical as well as the generalized (or higher-order) Bernoulli and Euler polynomials.
Qiu-Ming Luo, H M Srivastava
exaly   +2 more sources

Identities involving Frobenius–Euler polynomials arising from non-linear differential equations

Journal of Number Theory, 2012
In this paper we consider non-linear differential equations which are closely related to the generating functions of Frobenius–Euler polynomials. From our non-linear differential equations, we derive some new identities between the sums of products of ...
Taekyun Kim
exaly   +2 more sources

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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
openaire   +2 more sources

Probabilistic Bernoulli and Euler Polynomials

Russian Journal of Mathematical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, T., Kim, D. S.
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Convolutions of Bernoulli and Euler Polynomials

Sarajevo Journal of Mathematics
By means of the generating function technique, several convolution identities are derived for the polynomials of Bernoulli and Euler.   2000 Mathematics Subject Classification.
CHU, Wenchang, ZHOU R. R.
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Generalized Euler-Frobenius Polynomials

Zeitschrift für Analysis und ihre Anwendungen, 1995
The solution of the two-dimensional difference equation \(a_{n + 1, \nu + 1} = a_{n + 1, \nu} + (1 - z) a_{n \nu}\) is obtained. Applications are presented.
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Bernoulli and Euler Polynomials

2021
Focus of this chapter are Bernoulli numbers and polynomials, and Euler numbers and polynomials in the complex domain. For the evaluation several methods can be used in dependence of the polynomial degree and argument: Direct integration, direct integration in combination with argument transformations, or expansions with respect to trigonometric series.
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