Results 31 to 40 of about 28,297 (240)
Monomiality Principle and Eigenfunctions of Differential Operators
International Journal of Mathematics and Mathematical Sciences, 2011 We apply the so-called monomiality principle in order to construct eigenfunctions for a wide set of ordinary differential operators, relevant to special functions and polynomials, including Bessel functions and generalized Gould-Hopper polynomials.
Isabel Cação, Paolo E. Ricci
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Expansions of generalized bases constructed via Hasse derivative operator in Clifford analysis
AIMS Mathematics, 2023 The present paper investigates the approximation of special monogenic functions (SMFs) in infinite series of hypercomplex Hasse derivative bases (HHDBs) in Fréchet modules (F-modules).
Gamal Hassan, Mohra Zayed
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Mathematics, 2021 Two collocation-based methods utilizing the novel Bessel polynomials (with positive coefficients) are developed for solving the non-linear Troesch’s problem.
Mohammad Izadi +2 more
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A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian [PDF]
, 2014 We consider compact Grassmann manifolds $G/K$ over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type $BC$.
Rösler, Margit, Voit, Michael
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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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Polynomials related to the Bessel functions [PDF]
Transactions of the American Mathematical Society, 1975 In this paper we examine the polynomials W n ( a ) {W_n}(a) defined by means of \[ − 4 e x a [ x (
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Universality of random matrices in the microscopic limit and the Dirac operator spectrum [PDF]
, 1996 We prove the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducing the three-term recursion relation for the relevant orthogonal ...
Banks +24 more
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Turán inequalities for symmetric orthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, 1997 A method is outlined to express a Turán determinant of solutions of a three term recurrence relation as a weighted sum of squares. This method is shown to imply the positivity of Turán determinants of symmetric Pollaczek polynomials, Lommel polynomials ...
Joaquin Bustoz, Mourad E. H. Ismail
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Numerical study of sine-Gordon equations using Bessel collocation method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 The nonlinear space time dynamics have been discussed in terms of a hyper-bolic equation known as a sine-Gordon equation. The proposed equation has been discretized using the Bessel collocation method with Bessel poly-nomials as base functions.
S. Arora, I. Bala
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Scaled Asymptotics For Some $q$-Series [PDF]
, 2007 In this work we investigate the asymptotics for Euler's $q$-Exponential $E_{q}(z)$, $q$-Gamma function $\Gamma_{q}(z)$, Ramanujan's function $A_{q}(z)$, Jackson's $q$-Bessel function $J_{\nu}^{(2)}$(z;q) of second kind, Stieltjes-Wigert orthogonal ...
Zhang, Ruiming
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