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Bessel functions Jn(z) and Yn(z) of integer order and complex argument

โœ Scribed by C.F. du Toit

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
574 KB
Volume
78
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

This paper describes computer subroutines which were developed to compute Bessel functions of the first and second kind (J,,(z) and 1,(z), respectively) for a complex argument z and a range of integer orders. A novel way of determining the starting point of backward recurrence is used, and the algorithm for }~,(z)improves on previous algorithms in terms of accuracy and restrictions on the range of orders.

๐Ÿ“œ SIMILAR VOLUMES

Bessel functions Iv(z) and Kv(z) of real
Bessel functions Iv(z) and Kv(z) of real order and complex argument
โœ J.B. Campbell ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 713 KB

BESSIK cribed by Gautschi [1]. For arguments of large modulus, I~(z)is determined from its asymptotic expansion for large Catalogue number: AAQZ argument and backward recurrence. K~(z)and K~. 1(z)for vt ~1/2 are determined from Program obtaintable from: CPC Program Library, Queen's Neumann series wh