6533b872fe1ef96bd12d369a

RESEARCH PRODUCT

A code to calculate (high order) Bessel functions based on the continued fractions method

P. Fernández De CórdobaYu.l. Ratis

subject

Normalization (statistics)symbols.namesakeComputer programHardware and ArchitectureComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONMathematical analysissymbolsCode (cryptography)General Physics and AstronomyHigh orderBessel functionMathematics

description

Abstract We have developed a fast code to calculate Bessel functions of integer and fractional order based on the continued fractions method. This algorithm is specially useful in the case of Bessel functions of high order because it does not require any recalculation using normalization relations.

https://doi.org/10.1016/0010-4655(93)90062-h