Higher Transcendental Functions, Volume 3

algebraic asymptotic behavior automorphic functions B₂ Bessel functions C₂ characteristic values circle coefficients const constant continued fraction convergence cosh curvilinear coordinates denoted determined differential equation elliptic Erdélyi expansions finite follows formulas Fricke func fundamental region half-plane Heun's equation hypergeometric imaginary period Ince infinite integer integral equations Lame Lamé polynomials Lamé's equation Laplace's equation Legendre functions London Math maps Mathieu functions Mathieu's equation matrices McLachlan 1947 Meixner modified Mathieu functions modular group notation obtained odd function periodic solutions points potential regular Proc recurrence relations regular inside satisfy second kind singular sinh sn ẞ)² solution of Mathieu's spheroidal wave functions Strutt substitutions surface harmonics theorems theory theta series third kind tions transformation values of h Whittaker zeros