expansions in Bessel functions

SearchAdvancedHelp

(0.028 seconds)

11—20 of 100 matching pages

11: 28.23 Expansions in Series of Bessel Functions

§28.23 Expansions in Series of Bessel Functions

… ►

12: 13.11 Series

… ►

$(n+1)A_{n+1}=(n+b-1)A_{n-1}+(2a-b)A_{n-2},$ $n=2,3,4,\mathrm{\dots }$.

…

13: 10.44 Sums

… ►

§10.44(iii) Neumann-Type Expansions

…

14: 28.24 Expansions in Series of Cross-Products of Bessel Functions or Modified Bessel Functions

§28.24 Expansions in Series of Cross-Products of Bessel Functions or Modified Bessel Functions

… ►For further power series of Mathieu radial functions of integer order for small parameters and improved convergence rate see Larsen et al. (2009).

15: 28.34 Methods of Computation

… ►

Numerical summation of the expansions in series of Bessel functions (28.24.1)–(28.24.13). These series converge quite rapidly for a wide range of values of $q$ and $z$.

…

16: 11.9 Lommel Functions

… ►

§11.9(ii) Expansions in Series of Bessel Functions

…

17: 10.35 Generating Function and Associated Series

… ►Jacobi–Anger expansions: for $z,\theta \in ℂ$, …

18: 11.4 Basic Properties

… ►

§11.4(iv) Expansions in Series of Bessel Functions

…

19: 8.21 Generalized Sine and Cosine Integrals

… ►

Spherical-Bessel-Function Expansions

… ►For (8.21.16), (8.21.17), and further expansions in series of Bessel functions see Luke (1969b, pp. 56–57). …

20: 18.24 Hahn Class: Asymptotic Approximations

… ►Dunster (2001b) provides various asymptotic expansions for $C_n(x;a)$ as $n\to \mathrm{\infty }$, in terms of elementary functions or in terms of Bessel functions. …