Results 41 to 50 of about 12,103,103 (313)
Generating Functions for Bessel Functions [PDF]
Canadian Journal of Mathematics, 1959 On replacing the parameter n in Bessel's differential equation1.1by the operator y(∂/∂y), the partial differential equation Lu = 0 is constructed, where1.2This operator annuls u(x, y) = v(x)yn if, and only if, v(x) satisfies (1.1) and hence is a cylindrical function of order n.
openaire +2 more sources
A fourth-order Bessel fitting method for the numerical solution of the Schrödinger equation [PDF]
, 1992 A new fourth-order method is developed for the numerical integration of the one-dimensional radial Schrödinger equation. This method integrates Bessel and Neumann functions exactly.
A.D. Raptis +5 more
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Appell-Type Functions and Chebyshev Polynomials
Mathematics, 2019 In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
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, 2008 In the study of photon-state transitions, we found a natural extension of the first kind of Bessel functions that extends both the range and domain of the Bessel functions from the real number field to the complex number field.
D -S Guo, H Wang, X Hu
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On the Zeros of the Big q-Bessel Functions and Applications
Mathematics, 2020 This paper deals with the study of the zeros of the big q-Bessel functions. In particular, we prove new orthogonality relations for functions which are similar to the one for the classical Bessel functions.
Fethi Bouzeffour +2 more
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A new type of sharp bounds for ratios of modified Bessel functions [PDF]
, 2016 The bounds for the ratios of first and second kind modified Bessel functions of consecutive orders are important quantities appearing in a large number of scientific applications.
D. Ruiz-Antolín, J. Segura
semanticscholar +1 more source
Some results for Laplace-type integral operator in quantum calculus
Advances in Difference Equations, 2018 In the present article, we wish to discuss q-analogues of Laplace-type integrals on diverse types of q-special functions involving Fox’s Hq $H_{q}$-functions.
Shrideh K. Q. Al-Omari +2 more
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Error Bounds for the Large-Argument Asymptotic Expansions of the Hankel and Bessel Functions [PDF]
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2016 In this paper, we reconsider the large-argument asymptotic expansions of the Hankel, Bessel and modified Bessel functions and their derivatives. New integral representations for the remainder terms of these asymptotic expansions are found and used to ...
G. Nemes
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Laguerre-type Bessel functions [PDF]
, 2005 In the framework of the 'monomiality principle', we introduce a class of Bessel-type functions which can be derived by applying the properties of an isomorphism, related to the so called Laguerre-type exponentials.
C. Cesarano +2 more
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APPLICATION OF THE BESSEL-HYBRID FUNCTIONS FOR THE LINEAR FREDHOLM-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 In this paper a collocation method based on the Bessel-hybrid functions is used for approximation of the solution of linear Fredholm-Volterra integro-differential equations (FVIDEs) under mixed conditions.
YADOLLAH ORDOKHANI, HANIYE DEHESTANI
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