GENERATING-FUNCTIONS OF MULTIVARIABLE GENERALIZED BESSEL-FUNCTIONS AND JACOBI-ELLIPTIC FUNCTIONS

被引:30
作者
DATTOLI, G
CHICCOLI, C
LORENZUTTA, S
MAINO, G
RICHETTA, M
TORRE, A
机构
[1] ENEA, Area INN, Dip. Sviluppo Tecnologie di Punta, 00044 Frascati, Rome
[2] INFN Sezione di Bologna and CNAF, Bologna
[3] ENEA, INN/SVIL, Divisione Calcolo, Bologna
关键词
D O I
10.1063/1.529959
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is pointed out that the Jacobi-elliptic functions are the natural basis to get generating functions of the multivariable generalized Bessel functions. Analytical and numerical results are given of interest for applications.
引用
收藏
页码:25 / 36
页数:12
相关论文
共 18 条
  • [1] Andrews L.C., 1985, SPECIAL FUNCTIONS EN
  • [2] [Anonymous], 1970, HDB MATH FNCTIONS
  • [3] [Anonymous], 1996, TABLES INTEGRALS SER
  • [4] BARBINI R, 1990, RIV NUOVO CIMENTO, V13, P6
  • [5] BROWN LS, 1964, PHYS REV A, V133, P705
  • [6] CHICCOLI C, UNPUB
  • [7] CHICCOLI C, UNPUB EVALUATION GEN
  • [8] THEORY OF GENERALIZED BESSEL-FUNCTIONS
    DATTOLI, G
    GIANNESSI, L
    MEZI, L
    TORRE, A
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1990, 105 (03): : 327 - 348
  • [9] THEORY OF GENERALIZED BESSEL-FUNCTIONS .2.
    DATTOLI, G
    TORRE, A
    LORENZUTTA, S
    MAINO, G
    CHICCOLI, C
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1991, 106 (01): : 21 - 51
  • [10] DATTOLI G, UNPUB