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Canadian Journal of Mathematics, 1954 Recently a number of papers have been written on Bessel polynomials which arise as the solutions of the classical wave equation in spherical coordinates. Krall and Frink (5) studied in some detail the properties of these polynomials yn(x, a, b) defined as(1) .
Rajani Agarwal
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A Determinant Expression for the Generalized Bessel Polynomials [PDF]
Journal of Applied Mathematics, 2013 Using the exponential Riordan arrays, we show that a variation of the generalized Bessel polynomial sequence is of Sheffer type, and we obtain a determinant formula for the generalized Bessel polynomials. As a result, the Bessel polynomial is represented
Sheng-liang Yang, Sai-nan Zheng
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Transfer functions of generalized Bessel polynomials [PDF]
IEEE Transactions on Circuits and Systems, 1977 The stability and approximation properties of transfer functions of generalized Bessel polynomials (GBP) are investigated. Sufficient conditions are established for the GBP to be Hurwitz. It is shown that the Pad approximants of $e^{-s}$ are related to the GBP.
Jorge Martínez
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Note on the Bessel polynomials [PDF]
Transactions of the American Mathematical Society, 1954 1. This note can be considered as an addendum to the comprehensive study of the class of Bessel polynomials carried on by H. L. Krall and 0. Frink [1]. In fact I study here the expansion of particular functions in terms of Bessel polynomials as well as the location of the zeros of these polynomials. Write pn(z) = Zk PflkZk, so that [1, p. 101 ] (1) pnk
M. Nassif
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BESSEL POLYNOMIALS AND SOME CONNECTION FORMULAS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS [PDF]
Ural Mathematical Journal, 2022 In this paper, we introduce the concept of the \(\mathbb{B}_{\alpha}\)-classical orthogonal polynomials, where \(\mathbb{B}_{\alpha}\) is the raising operator \(\mathbb{B}_{\alpha}:=x^2 \cdot {d}/{dx}+\big(2(\alpha-1)x+1\big)\mathbb{I}\), with nonzero ...
Baghdadi Aloui, Jihad Souissi
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Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We find approximate expressions x̃(k,n,a) and ỹ(k,n,a) for the real and imaginary parts of the kth zero zk=xk+iyk of the Bessel polynomial yn(x;a).
Rafael G. Campos, Marisol L. Calderón
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On Behavior Laplace Integral Operators with Generalized Bessel Matrix Polynomials and Related Functions [PDF]
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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Series of Products of Bessel Polynomials [PDF]
Canadian Journal of Mathematics, 1959 The Bessel polynomials, which arise as solution of the classical wave equation in spherical co-ordinates, are defined by Krall and Frink (3) by the equation1The purpose of this paper is to present some series of products of these polynomials when the two arguments are different as in the case of Legendre and Hermite polynomials. Such an explanation was
F. M. Ragab
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On q-Bessel matrix polynomials [PDF]
The aim of the present study is to establish some properties for q-Bessel matrix polynomials such as several q-differential matrix equation, q-differential matrix relations and q-recurrence matrix relations, and integral representation, q-Laplace and q-Mellin transforms with the help of q-Analysis.
Shehata, Ayman +3 more
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Bessel Type Orthogonality For Hermite Polynomials [PDF]
, 2020 Five pages including title ...
Omid Hamidi
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