30 Spheroidal Wave Functions Properties 30.9 Asymptotic Approximations and Expansions 30.11 Radial Spheroidal Wave Functions

§30.10 Series and Integrals

Keywords:: integral equations, integrals, spheroidal wave functions
Permalink:: http://dlmf.nist.gov/30.10

Integrals and integral equations for $\mathop{\mathsf{Ps}^{{m}}_{{n}}\/}\nolimits\!\left(x,\gamma^{2}\right)$ are given in Arscott (1964b, §8.6), Erdélyi et al. (1955, §16.13), Flammer (1957, Chapter 5), and Meixner (1951). For product formulas and convolutions see Connett et al. (1993). For an addition theorem, see Meixner and Schäfke (1954, p. 300) and King and Van Buren (1973). For expansions in products of spherical Bessel functions, see Flammer (1957, Chapter 6).

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