Results 51 to 60 of about 126,262 (211)
A Study of Generalized Laguerre Poly-Genocchi Polynomials
Mathematics, 2019 A variety of polynomials, their extensions, and variants, have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan +2 more
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Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee +2 more
wiley +1 more source
Journal of Function Spaces, 2018 We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one,
Eduard Navas, Wilfredo O. Urbina
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On Appell-Laguerre polynomials
, 1993 In this note we give a digest study of Appell-Laguerre polynomials, we provide a recurrence relation and a second-order differential equation satisfied by these polynomials.
Belmehdi, S.
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Convergence of Hermite expansions in modulation spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract The aim of this paper is to give an elementary proof that the Hermite expansion of a function f$f$ in the modulation space Mp(R)$M^p({\mathbb {R}})$ converges to f$f$ in Mp(R)$M^p({\mathbb {R}})$ when 1
Philippe Jaming, Michael Speckbacher
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The K Extended Laguerre Polynomials Involving Aαr,n,kxFr r,r>2
Advances in Mathematical Physics, 2022 In this manuscript, we present the generalized hypergeometric function of the type Fr r,r>2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials Ar,n,kαx.
Adnan Khan +3 more
doaj +1 more source
On the Complex Zeros of Some Families of Orthogonal Polynomials
Abstract and Applied Analysis, 2010 The complex zeros of the orthogonal Laguerre polynomials 𝐿𝑛(𝑎)(𝑥) for ...
Eugenia N. Petropoulou
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The Combinatorics of Associated Laguerre Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 The explicit double sum for the associated Laguerre polynomials is derived combinatorially. The moments are described using certain statistics on permutations and permutation tableaux. Another derivation of the double sum is provided using only the moment generating function.
Kim, J.S., Stanton, D.
openaire +4 more sources
Deformed Laguerre–Hahn orthogonal polynomials on the real line [PDF]
, 2014 One derives discrete dynamical systems related to Laguerre–Hahn orthogonal polynomials. One studies deformations of the recurrence relation coefficients of the orthogonal polynomials under a t-dependence on the coefficients of the Riccati differential ...
Branquinho, A. +3 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12524-12538, 30 July 2026.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley +1 more source