Results 51 to 60 of about 6,635 (118)
Characterization of q-Dunkl Appell symmetric orthogonal q-polynomials
, 2010 We introduce a q-Dunkl operator T(θ,q)≔Hq+θH−1 where Hq is the q-derivative one and we determine all symmetric T(θ,q)-Appell classical orthogonal q-polynomials.
Tounsi, M. Ihsen +5 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Y‐function has emerged as a significant tool in generalized fractional calculus due to its ability to unify and extend numerous classical special functions and hypergeometric‐type functions. Applying the Marichev–Saigo–Maeda fractional integration and differentiation operators of any complex order to the Y‐function, this study establishes four ...
Engdasew Birhane +2 more
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Combinatorial identities for Appell polynomials [PDF]
, 2018 Using the techniques of the modern umbral calculus, we derive several combinatorial identities involving s-Appell polynomials. In particular, we obtain identities for classical polynomials, such as the Hermite, Laguerre, Bernoulli, Euler, Norlund ...
Emanuele Munarini, E. Munarini
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On (self-) reciprocal Appell polynomials: Symmetry and Faulhaber-type polynomials
, 2021 The main purpose of this paper is to study generalized (self-) reciprocal Appell polynomials, which play a certain role in connection with Faulhaber-type polynomials.
Kellner, Bernd C.
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Spatially explicit predictions using spatial eigenvector maps
Methods in Ecology and Evolution, Volume 15, Issue 11, Page 2129-2140, November 2024.Abstract In this paper, we explain how to obtain sets of descriptors of the spatial variation, which we call “predictive Moran's eigenvector maps” (pMEM), that can be used to make spatially explicit predictions for any environmental variables, biotic or abiotic. It unites features of a method called “Moran's eigenvector maps” (MEM) and those of spatial
Guillaume Guénard, Pierre Legendre
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Symbolic Methods Applied to a Class of Identities Involving Appell Polynomials and Stirling Numbers
MathematicsIn this paper, we present two symbolic methods, in particular, the method starting from the source identity, umbra identity, for constructing identities of s-Appell polynomials related to Stirling numbers and binomial coefficients.
Tian-Xiao He, Emanuele Munarini
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An alternative approach to averaging in nonlinear systems using classical probability density
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 6, June 2024.Abstract The averaging method is a widely used technique in the field of nonlinear differential equations for effectively reducing systems with “fast” oscillations overlaying “slow” drift. The method involves calculating an integral, which can be straightforward in some cases but can also require simplifications such as series expansions. We propose an
Attila Genda +2 more
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Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials
Studies in Applied Mathematics, Volume 152, Issue 1, Page 453-507, January 2024.Abstract In this paper, rational solutions of the fifth Painlevé equation are discussed. There are two classes of rational solutions of the fifth Painlevé equation, one expressed in terms of the generalized Laguerre polynomials, which are the main subject of this paper, and the other in terms of the generalized Umemura polynomials. Both the generalized
Peter A. Clarkson, Clare Dunning
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-Pascal and -Wronskian Matrices with Implications to -Appell Polynomials [PDF]
Journal of Discrete Mathematics, 2013 We introduce a -deformation of the Yang and Youn matrix approach for Appell polynomials. This will lead to a powerful machinery for producing new and old formulas for -Appell polynomials, and in particular for -Bernoulli and -Euler polynomials. Furthermore, the --polynomial, anticipated by Ward, can be expressed as a sum of products of -Bernoulli and ...
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Some recurrence formulas for the q-bernoulli and q-euler polynomials
, 2020 1st Mediterranean International Conference of Pure and Applied Mathematics and Related Areas (MICOPAM) -- OCT 26-29, 2018 -- Akdeniz Univ, Antalya, TURKEYThe recurrence relations have a very important place for the special polynomials such as q-Appell ...
Paçin, Rahime Dere
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