Results 191 to 200 of about 219,144 (225)

A Note on the Bernoulli and Euler Polynomials

Applied Mathematics Letters, 2003
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Gi-Sang Cheon
exaly   +4 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

A New Type of Euler Polynomials and Numbers

Mediterranean Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Masjed-Jamei, W Koepf
exaly   +3 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.
openaire   +2 more sources

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.
openaire   +1 more source

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.
openaire   +1 more source

Bernoulli and Euler Polynomials in Clifford Analysis

Advances in Applied Clifford Algebras, 2014
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Hassan, G. F., Aloui, L.
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The Euler–Frobenius Polynomials

2014
The Euler–Frobenius polynomials have been throughout the book to characterize asymptotic sampling zeros in discrete models as the sampling period goes to zero. This chapter presents a brief historical account of these polynomials, and a summary of (equivalent) definitions and properties found in the literature.
Juan I. Yuz, Graham C. Goodwin
openaire   +1 more source

A Simple Generalization of Euler Numbers and Polynomials

Journal of the Indian Mathematical Society, 2018
In this article, we shall consider a generalization of Euler's numbers and polynomials based on modifying the corresponding generating function. We shall prove some recurrence relations, an explicit formula, and multiplicative properties of the generalized numbers.
Hassen, Abdul, Ernst, Christopher R.
openaire   +2 more sources