Results 61 to 70 of about 117,000 (133)
Laguerre-type general-Appell polynomials
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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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
Differential Equation of Appell Polynomials Via the Factorization Method [PDF]
, 2002 Let {Pn(x)}∞n=0 be a sequence of polynomials of degree n. We define two sequences of differential operators Φn and Ψn satisfying the following properties: By constructing these two operators for Appell polynomials, we determine their differential ...
He, Matthew, Ricci, Paolo E.
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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
Nuclear Physics BThis article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj +1 more source
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
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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Two-iterated degenerate Appell polynomials: properties and applications
Arab Journal of Basic and Applied SciencesIn the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
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Some properties of generalized hypergeometric Appell polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $x^{(n)}$ denotes the Pochhammer symbol (rising factorial) defined by the formulas $x^{(0)}=1$ and $x^{(n)}=x(x+1)(x+2)\cdots (x+n-1)$ for $n\geq 1$.
L. Bedratyuk, N. Luno
doaj +1 more source
On the asymptotics of the rescaled Appell polynomials [PDF]
, 2020 18 pags., 6 figs. -- MSC:41A60 30E15 05A15 11C08We introduce a new representation for the rescaled Appell polynomials and use it to obtain asymptotic expansions to arbitrary order.
Sánchez Villaseñor, Eduardo Jesús +5 more
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