Computation of modified Bessel functions and their ratios

Author:
D. E. Amos

Journal:
Math. Comp. **28** (1974), 239-251

MSC:
Primary 33A40; Secondary 65D20

DOI:
https://doi.org/10.1090/S0025-5718-1974-0333287-7

MathSciNet review:
0333287

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Abstract | References | Similar Articles | Additional Information

Abstract: An efficient algorithm for calculating ratios , is presented. This algorithm in conjunction with the recursion relation for gives an alternative to other recursive methods for when approximations for low-order Bessel functions are available. Sharp bounds on and are also established in addition to some monotonicity properties of and .

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1974-0333287-7

Keywords:
Modified Bessel functions,
recursive computation,
ratios of Bessel functions,
bounds on Bessel functions

Article copyright:
© Copyright 1974
American Mathematical Society