Generation of Spherical Bessel Functions in Digital Computers

Author:

Corbató Fernando J.1,Uretsky Jack L.2

Affiliation:

1. Massachusetts Institute of Technology, Cambridge, Massachusetts

2. University of California, Berkeley, California

Abstract

A method of computation for spherical Bessel functions of real and imaginary argument is given which is especially suitable for high speed digital computers. The accuracy and convergence are examined and criterion formulas are given. A procedure based on the Wronskian is used to simplify the final normalization.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference6 articles.

1. The ratio method was used for desk calculation by C. W. JONES A Short Table for the Bessel Functions Univcxsity Press Cambridge (1952). The ratio method was used for desk calculation by C. W. JONES A Short Table for the Bessel Functions Univcxsity Press Cambridge (1952).

2. The ratio method for the generation of the cylindrical functions J(x) and Y (x) is described by: J. B. RANDELS AND R. F. REEVES Cornmunications A CM l (May 1958). The ratio method for the generation of the cylindrical functions J(x) and Y (x) is described by: J. B. RANDELS AND R. F. REEVES Cornmunications A CM l (May 1958).

3. P. M. MORSE. AND H.FESHBACH Methods of Theoretical Physics MeGraw-HiU (New York) 1953 p. 1573. P. M. MORSE. AND H.FESHBACH Methods of Theoretical Physics MeGraw-HiU (New York) 1953 p. 1573.

4. M. SAFFREN Physics Department Massachusetts Institute of Technology Cambridge Mass. (private communication). M. SAFFREN Physics Department Massachusetts Institute of Technology Cambridge Mass. (private communication).

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