Results 51 to 60 of about 528 (133)
Hermite-based Appell polynomials: Properties and applications
, 2008 By employing certain operational methods, the authors introduce Hermite-based Appell polynomials. Some properties of Hermite–Appell polynomials are considered, which proved to be useful for the derivation of identities involving these polynomials.
Khan, Rehana +7 more
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Two-Variable q-General-Appell Polynomials Within the Context of the Monomiality Principle
MathematicsIn this study, we consider the two-variable q-general polynomials and derive some properties. By using these polynomials, we introduce and study the theory of two-variable q-general Appell polynomials (2VqgAP) using q-operators.
Noor Alam +3 more
doaj +1 more source
A Note on the Laguerre-Type Appell and Hypergeometric Polynomials
Mathematics, 2022 The Laguerre derivative and its iterations have been used to define new sets of special functions, showing the possibility of generating a kind of parallel universe for mathematical entities of this kind.
Paolo Emilio Ricci, Rekha Srivastava
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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
wiley +1 more source
Laguerre-type general-Appell polynomials
<p>In this paper, new and general form of Laguerre-type Appell polynomials are introduced by using the Laguerre-type exponential function. For this new polynomial family, we present explicit representation, recurrence relation, lowering and raising
Ozat, Zeynep +2 more
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A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$
Journal of Inequalities and ApplicationsThe current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) $A^{(2)}$ class Appell polynomials.
Melek Sofyalıoğlu Aksoy
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Fractal and FractionalThe objective of this article is to introduce the ∆h bivariate Appell polynomials ∆hAs[r](λ,η;h) and their extended form via fractional operators. The study described in this paper follows the line of study in which the monomiality principle is used to ...
Musawa Yahya Almusawa
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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
wiley +1 more source
Properties of Partially Degenerate Complex Appell Polynomials
, 2019 Degenerate versions of polynomial sequences have been recently studied to obtain useful properties such as symmetric identities by introducing degenerate exponential-type generating functions.
Sangil Kim, Dojin Kim
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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
wiley +1 more source