Results 1 to 10 of about 877 (132)
Several identities for the generalized Apostol–Bernoulli polynomials
Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhizheng Zhang
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Identities of Symmetry for the Generalized Degenerate Euler Polynomials [PDF]
Springer Proceedings in Mathematics and Statistics, 2016 In this paper, we give some identities of symmetry for the generalized degenerate Euler polynomials attached to chi which are derived from the symmetric properties for certain fermionic p-adic integrals on Zp.
Dae San Kim, Taekyun Kim, Kim Dae San
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Cocharacters of generalized polynomial identities
Communications in AlgebraIn this paper we extend the cocharacter theory to generalized identities of $W$-algebras. We prove that the Hilbert series of the relatively free $W$-algebra admits an expansion in terms of Schur functions whose coefficients coincide with generalized cocharacter multiplicities.
Sebastiano Argenti +1 more
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Generalized polynomials and associated operational identities
Journal of Computational and Applied Mathematics, 1999 Operational methods of Lie type in the theory of ordinary and generalized special functions, which are quasi-polynomials under the action of operators \(\widehat M= y-\widehat D^{-1}_x\), \(\widehat P= -\widehat D_x x\widehat D_x\), where \(D_x\) is the derivative and \(\widehat D^{-1}_x\) its inverse, offer a powerful tool to treat generating ...
Ana M Mancho
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Generalized polynomial identities, III
Journal of Algebra, 1977 Louis Halle Rowen
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m
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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Applications of q-difference equation and homogeneous q-shift operator rΦs(Dxy) in q-polynomials
Partial Differential Equations in Applied Mathematics, 2023 In this paper, the generalized homogeneous q-shift operator is constructed. The q-difference equation is then utilized to construct numerous polynomial q-identities, such as the generating function and its extension, Rogers’ formula and its extension ...
Samaher A. Abdul-Ghani, Husam L. Saad
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A Class of Laguerre-Based Generalized Humbert Polynomials
International Journal of Differential Equations, 2021 Several mathematicians have extensively investigated polynomials, their extensions, and their applications in various other research areas for a decade.
Saniya Batra, Prakriti Rai
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Identities for generalized Euler polynomials [PDF]
Integral Transforms and Special Functions, 2014 For $N \in \mathbb{N}$, let $T_{N}$ be the Chebyshev polynomial of the first kind. Expressions for the sequence of numbers $p_{\ell}^{(N)}$, defined as the coefficients in the expansion of $1/T_{N}(1/z)$, are provided. These coefficients give formulas for the classical Euler polynomials in terms of the so-called generalized Euler polynomials.
Vignat, Christophe +2 more
openaire +3 more sources