Results 51 to 60 of about 2,576 (164)
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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On multiple Appell polynomials [PDF]
Proceedings of the American Mathematical Society, 2010 So called Appell polynomials [\textit{P. Appell}, ``Sur une classe de polynômes'', Ann. Sci. Éc. Norm. Supér. (2), 9, 119--144 (1880; JFM 12.0342.02)] have been studied extensively and apart from the defining property: \[ \{P_n(x)\}_0^{\infty}\text{ is a sequence of Appell polynomials }\Leftrightarrow P_n'(x)=nP_{n-1}(x),\;n\geq 1.
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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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Appell and Sheffer sequences: on their characterizations through functionals and examples
Comptes Rendus. Mathématique, 2021 The aim of this paper is to present a new simple recurrence for Appell and Sheffer sequences in terms of the linear functional that defines them, and to explain how this is equivalent to several well-known characterizations appearing in the literature ...
Carrillo, Sergio A., Hurtado, Miguel
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On Bell based Appell polynomials
Turkish Journal of Mathematics, 2023 Summary: Recently, several Bell based polynomials such as Bernoulli, Euler, Genocchi and Apostol versions were defined and investigated. The main aim of this paper is to introduce the general family of Bell based Appell polynomials, which includes many new members in addition to the existing ones, and to investigate their properties including ...
Ozarslan, Mehmet Ali +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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Symbolic computation of Appell polynomials using Maple
Electronic Journal of Differential Equations, 2001 This work focuses on the symbolic computation of Appell polynomials using the computer algebra system Maple. After describing the traditional approach of constructing Appell polynomials, the paper examines the operator method of constructing the same ...
H. Alkahby +3 more
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Monitoring tides, currents, and waves along coastal habitats using the Mini Buoy
Limnology and Oceanography: Methods, Volume 22, Issue 9, Page 619-633, September 2024.Abstract Intertidal habitats are shaped by the actions of tides and waves which are difficult to monitor in shallow water. To address this challenge, the “Mini Buoy” and associated open‐source App were recently developed for the low‐cost and long‐term monitoring of tidal inundation and current velocities simultaneously.
Cai J. T. Ladd +4 more
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Fractal and FractionalThis paper introduces the operational rule for 2-iterated 2D Appell polynomials and derives its generalized form using fractional operators. It also presents the generating relation and explicit forms that characterize the generalized 2-iterated 2D ...
Mohra Zayed, Shahid Ahmad Wani
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Scaling transition for nonlinear random fields with long-range dependence
, 2016 We obtain a complete description of anisotropic scaling limits and the existence of scaling transition for nonlinear functions (Appell polynomials) of stationary linear random fields on $\mathbb{Z}^2$ with moving average coefficients decaying at possibly
Pilipauskaitė, Vytautė +1 more
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