Results 11 to 20 of about 2,037 (242)
A Note on Type 2 Degenerate q-Euler Polynomials
Mathematics, 2019 Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim +3 more
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Quadratic symmetry of modified q-Euler polynomials
Advances in Difference Equations, 2018 We use the p-adic q-integral and group action to count the number of the generating functions of modified q-Euler polynomials in a prescribed set. Some generating function yields modified q-Euler polynomials with the isotropy group D4 $D_{4}$ and some ...
SangKi Choi +3 more
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Matrix Approach to Frobenius-Euler Polynomials [PDF]
, 2014 In the last two years Frobenius-Euler polynomials have gained renewed interest and were studied by several authors. This paper presents a novel approach to these polynomials by treating them as Appell polynomials. This allows to apply an elementary matrix representation based on a nilpotent creation matrix for proving some of the main properties of ...
Graça Tomaz, Helmuth R. Malonek
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Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable
Journal of Function Spaces, 2021 In this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of
Ghulam Muhiuddin +2 more
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m [PDF]
Математичні Студії, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya +3 more
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Some Identities of the Frobenius‐Euler Polynomials [PDF]
Abstract and Applied Analysis, 2009 By using the ordinary fermionic p‐adic invariant integral on ℤp, we derive some interesting identities related to the Frobenius‐Euler polynomials.
Kim, Taekyun, Lee, Byungje
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Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
Journal of Inequalities and Applications, 2009 The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type
Kyung-Won Hwang +2 more
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Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials [PDF]
Advances in Difference Equations, 2020 The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles +3 more
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On the Identities of Symmetry for the ζ-Euler Polynomials of Higher Order
Advances in Difference Equations, 2009 The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate p-adic fermionic integral on ℤp.
Taekyun Kim +2 more
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Identities of Symmetry for Generalized Euler Polynomials [PDF]
International Journal of Combinatorics, 2011 We derive eight basic identities of symmetry in three variables related to generalized Euler polynomials and alternating generalized power sums. All of these are new, since there have been results only about identities of symmetry in two variables. The derivations of identities are based on the -adic fermionic integral expression of the generating ...
Dae San Kim
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