Results 41 to 50 of about 246 (165)
An Integral Formula For Generalized Gegenbauer Polynomials And Jacobi Polynomials [PDF]
, 2007 The generalized Gegenbauer polynomials are orthogonal polynomials with respect to the weight function jxj . An integral formula for these polynomials is proved, which serves as a transformation between h-harmonic polynomials associated with Z ...
Yuan Xu
core
Generalized Chebyshev polynomials [PDF]
, 2020 -We generalize the first and second kind Chebyshev polynomials by using the concepts and the operational formalism of the Hermite polynomials of the Kampé de Fériet type.
Clemente Cesarano
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Asymptotics of the generalized Gegenbauer functions of fractional degree [PDF]
, 2020 The generalized Gegenbauer functions of fractional degree (GGF-Fs), denoted by rG (λ) ν (x) (right GGF-Fs) and lG (λ) ν (x) (left GGF-Fs) with x ∈ (−1, 1), λ > −1/2 and real ν ≥ 0, are special functions (usually non-polynomials), which are defined ...
Wang, Li-Lian, Liu, Wenjie
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Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel +3 more
wiley +1 more source
Relativistic Hermite polynomials and Lorentz beams [PDF]
, 2008 The link between relativistic Hermite polynomials and Lorentz beams is shown. That suggests introducing new optical fields. The paraxial propagation properties of such fields are studied in detail.
Severini, S. +3 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady +4 more
wiley +1 more source
Algebraic Generating Functions for Gegenbauer Polynomials [PDF]
, 2018 20 pages, final version, typos corrected, to appear in the volume `Frontiers of Orthogonal Polynomials and q-Series' (World Scientific)
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Fractional Q$Q$‐curvature on the sphere and optimal partitions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara +2 more
wiley +1 more source
Generalized trace formula and asymptotics of the averaged Turan determinant for polynomials orthogonal with a discrete Sobolev inner product [PDF]
, 2006 Let μ be a finite positive Borel measure supported on [-1,1] and introduce the discrete Sobolev-type inner product〈f,g〉=∫-11f(x)g(x)dμ(x)+∑k=1K∑i=0NkMk,if(i)(ak)g(i)(ak),where the mass points ak belong to [-1,1], and Mk,i>0(i=0,1,…,Nk). In this paper, we
Osilenker, Boris P.
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Some Properties of Generalized Gegenbauer Matrix Polynomials [PDF]
International Journal of Analysis, 2014 Various new generalized forms of the Gegenbauer matrix polynomials are introduced using the integral representation method, which allows us to express them in terms of Hermite matrix polynomials. Certain properties for these new generalized Gegenbauer matrix polynomials such as recurrence relations and expansion in terms of Hermite matrix polynomials ...
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