Results 11 to 20 of about 852,038 (290)
Some Identities Involving the Fubini Polynomials and Euler Polynomials
Mathematics, 2018 In this paper, we first introduce a new second-order non-linear recursive polynomials U h , i ( x ) , and then use these recursive polynomials, the properties of the power series and the combinatorial methods to prove some identities involving the Fubini
Guo-Hui Chen, Li Chen
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New Formulas and Connections Involving Euler Polynomials
Axioms, 2022 The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using some of these polynomials’ well-known fundamental characteristics as well
Waleed Mohamed Abd-Elhameed +1 more
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New Generalized Apostol-Frobenius-Euler polynomials and their Matrix Approach [PDF]
, 2021 In this paper, we introduce a new extension of the generalized ApostolFrobenius-Euler polynomials H n (x; c, a;λ;u). We give some algebraic and differential properties, as well as, relationships between this polynomials class with other polynomials and ...
M. Ortega, W. Ramírez, A. Urieles
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Some Relationships between the Analogs of Euler Numbers and Polynomials [PDF]
Journal of Inequalities and Applications, 2007 We construct new twisted Euler polynomials and numbers. We also study the generating functions of the twisted Euler numbers and polynomials associated with their interpolation functions.
C. S. Ryoo, Lee-Chae Jang, T. Kim
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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.
Dae Sik Lee, Hye Kyung Kim, L. Jang
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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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Identities of Symmetry for Type 2 Bernoulli and Euler Polynomials
Symmetry, 2019 The main purpose of this paper is to give several identities of symmetry for type 2 Bernoulli and Euler polynomials by considering certain quotients of bosonic p-adic and fermionic p-adic integrals on Z p , where p is an odd prime number.
Taekyun Kim, D S Kim, Dojin Kim
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A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials
Journal of Mathematics, 2023 Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the ...
Taekyun Kim +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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Euler and the Legendre Polynomials [PDF]
Euleriana, 2023 In this note we will present how Euler's investigations on various different subjects lead to certain properties of the Legendre polynomials. More precisely, we will show that the generating function and the difference equation for the Legendre polynomials was already written down by Euler in at least two different papers.
Aycock, Alexander, Alexander Aycock
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