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Barnes-type degenerate Euler polynomials
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dolgy, Dmitry V. +3 more
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Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials
Statistics & Probability Letters, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Euler polynomials associated with \(p\)-adic \(q\)-Euler measure
2007Summary: In this paper we define a two variable \(q\)-\(l\)-function. By applying Hankel's contour and Cauchy residue theorem, we prove that this function interpolates generalized \(q\)-Euler numbers at negative integers. The main purpose of this paper is also to construct a \(p\)-adic \(q\)-Euler measure on \(\mathbb Z_p\) and to give applications of ...
Özden Ayna, Hacer +2 more
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Explicit Congruences for Euler Polynomials
2006In this paper we establish some explicit congruences for Euler polynomials modulo a general positive integer. As a consequence, if a,m ∈ ℤ and 2 ∤ m then $$ \frac{{m^{k + 1} }} {2}E_k \left( {\frac{{x + a}} {m}} \right) - \frac{{\left( { - 1} \right)^a }} {2}E_k \left( x \right) \in \mathbb{Z}\left[ x \right] for every k = 0,1,2,..., $$ which ...
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APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER AND GAUSSIAN HYPERGEOMETRIC FUNCTIONS
Taiwanese Journal of Mathematics, 2006Qiu-Ming Luo
exaly
Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
Computers and Mathematics With Applications, 2006Qiu-Ming Luo
exaly
A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable
Symmetry, 2019D S Kim, Hyunseok Lee
exaly
Identities involving Frobenius–Euler polynomials arising from non-linear differential equations
Journal of Number Theory, 2012Taekyun Kim
exaly