Results 51 to 60 of about 1,786 (98)
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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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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Two-Variable q-Hermite-Based Appell Polynomials and Their Applications
MathematicsA noteworthy advancement within the discipline of q-special function analysis involves the extension of the concept of the monomiality principle to q-special polynomials.
Mohammed Fadel +2 more
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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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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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-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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Expansion formulas for Apostol type \(q\)-Appell polynomials, and their special cases
Le Matematiche, 2018 Summary: We present identities of various kinds for generalized \(q\)-Apostol-Bernoulli and Apostol-Euler polynomials and power sums, which resemble \(q\)-analogues of formulas from the 2009 paper by \textit{H. M. Liu} and \textit{W. Wang} [Discrete Math. 309, No. 10, 3346--3363 (2009; Zbl 1227.11043)].
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Multiplication formulas for q-Appell polynomials and the multiple q-power sums
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2016 In the first article on q-analogues of two Appell polynomials, the generalized Apostol-Bernoulli and Apostol-Euler polynomials, focus was on generalizations, symmetries, and complementary argument theorems. In this second article, we focus on a recent paper by Luo, and one paper on power sums by Wang and Wang.
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On an Effective Solution of the Optimal Stopping Problem for Random Walks [PDF]
We find a solution of the optimal stopping problem for the case when a reward function is an integer function of a random walk on an infinite time interval. It is shown that an optimal stopping time is a first crossing time through a level defined as the
Albert Shiryaev, Alexander Novikov
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