Results 31 to 40 of about 27,421 (244)
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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Integral representations for the product of certain polynomials of two variables
Ain Shams Engineering Journal, 2013 The main object of this paper is to investigate several integral representations for the product of two polynomials of two variables, e.g. Laguerre, Jacobi, Generalized Bessel, Generalized Rice, Krawtchouk, Meixner, Gottlieb and Poisson–Charlier ...
Mumtaz Ahmad Khan +2 more
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On characteristic polynomials for a generalized chiral random matrix ensemble with a source [PDF]
, 2018 We evaluate averages involving characteristic polynomials, inverse characteristic polynomials and ratios of characteristic polynomials for a $N\times N$ random matrix taken from a $L$-deformed Chiral Gaussian Unitary Ensemble with an external source ...
Fyodorov, Yan V +2 more
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Quadrature formulas for Bessel polynomials
Indagationes Mathematicae, 2023 A quadrature formula is a formula computing a definite integration by evaluation at finite points. The existence of certain quadrature formulas for orthogonal polynomials is related to interesting problems such as Waring's problem in number theory and spherical designs in algebraic combinatorics.
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Products of Bessel functions and associated polynomials [PDF]
Applied Mathematics and Computation, 2015 In this revision the operator for the product of Bessel functions with order greater than zero has been correctly updated according to the last calculation performed during the Ph.D. thesis: Umbral Calculus, a Different Mathematical Language; arXiv:1803.03108 math.CA by Dr. Silvia Licciardi. The following equations has been updated: 11, 13, 17, 34, 40,
Dattoli G. +3 more
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Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]
, 2014 We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño, Alfredo +2 more
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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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Journal of Function Spaces, 2021 Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering.
Muajebah Hidan +3 more
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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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The reproducing kernel structure arising from a combination of continuous and discrete orthogonal polynomials into Fourier systems [PDF]
, 2006 We study mapping properties of operators with kernels defined via a combination of continuous and discrete orthogonal polynomials, which provide an abstract formulation of quantum (q-) Fourier type systems.
Abreu, Luis Daniel
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