Book Review: Tables of spherical Bessel functions
نویسندگان
چکیده
منابع مشابه
Miniaturized Tables of Bessel Functions . II
In a previous study, we discussed the expansion of two-parameter functions in a double series of Chebyshev polynomials, and, in particular, we presented coefficients for the evaluation of the modified Bessel function (2z I iifne'K,(z) to 20 decimals for all z ^ 5 and all v, 0 g v g 1. In the present study, we give similar coefficients for the evaluation of ge~'z-»l,(z) to at least 20 decimals w...
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An evaluation of the derivative of spherical Bessel functions of order n + 1 2 at its zeros is obtained. Consequently, an explicit quadrature formula for entire functions of exponential type is given.
متن کاملThe Calculation of Spherical Bessel Functions and Coulomb Functions
An account is given of the Steed algorithm for calculating Coulomb functions and, as a special case, both spherical Bessel and Riccati–Bessel functions. These functions are needed for boundary-condition matching in scattering problems in Atomic and Nuclear physics. Central to the technique is the evaluation of continued fractions and for this calculation Lentz’s forward method (modified by Thom...
متن کاملA New Take on Spherical, Whittaker and Bessel Functions
0. Introduction 5 0.1. Objectives and main results 5 0.1.1. Affine Satake isomorphisms 5 0.1.2. Whittaker functions 6 0.1.3. The setting of the paper 7 0.2. Dunkl operators via DAHA 7 0.2.1. Families of Dunkl operators 8 0.3. The technique of spinors 9 0.3.1. Connections to AKZ 9 0.3.2. Isomorphism theorems 10 0.3.3. The localization functor 10 0.3.4. The Whittaker limit 11 0.4. On Langlands’ p...
متن کاملBessel integrals in epsilon expansion: Squared spherical Bessel functions averaged with Gaussian power-law distributions
Keywords: Squared spherical Bessel functions Regularization of Hankel series Gaussian power-law densities Kummer distributions Airy approximation of Bessel integrals a b s t r a c t Bessel integrals of type R 1 0 k lþ2 e Àak 2 ÀðbþixÞk j 2 l ðpkÞdk are studied, where the squared spherical Bessel function j 2 l is averaged with a modulated Gaussian power-law density. These inte-grals define the ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1947
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1947-08887-x