Results 51 to 60 of about 1,802,704 (118)
Studies in Applied Mathematics, Volume 154, Issue 3, March 2025.ABSTRACT This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi–Piñeiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions for general recurrence coefficients, as well as the stepline case, are provided for all these ...
Amílcar Branquinho +3 more
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Orthogonal Laurent Polynomials of Two Real Variables
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT In this paper, we consider an appropriate ordering of the Laurent monomials xiyj$x^{i}y^{j}$, i,j∈Z$i,j \in \mathbb {Z}$ that allows us to study sequences of orthogonal Laurent polynomials of the real variables x$x$ and y$y$ with respect to a positive Borel measure μ$\mu$ defined on R2$\mathbb {R}^2$ such that ({x=0}∪{y=0})∩supp(μ)=∅$(\lbrace ...
Ruymán Cruz‐Barroso, Lidia Fernández
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
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A New Generalization of Two-Variable q-Gould–Hopper–Hahn–Appell Polynomials via Quantum q-Calculus
MathematicsIn this paper, we introduce a class of two-variable q-Gould–Hopper–Hahn–Appell polynomials obtained by combining a Hahn-type q-Gould–Hopper kernel with a general q-Appell factor.
Waseem Ahmad Khan +4 more
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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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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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-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 ...
openaire +1 more source
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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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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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2016 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang +5 more
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