Higher Transcendental Functions: Legendre functionsMcGraw-Hill, 1953 - Transcendental functions |
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½π algebraic Amer asymptotic behavior automorphic functions B₂ Bessel functions Chap characteristic values circle coefficients confocal const constant convergence coordinates cosh defined denotes differential equation elliptic Erdélyi expansions finite follows formulas func fundamental region half-plane Heun's equation hypergeometric Ince infinite integer integral equations Lame Lamé functions Lamé polynomials Lamé's equation Legendre functions London Math Mathieu functions Mathieu's equation McLachlan 1947 Meixner modified Mathieu functions modular group multiple notation obtained odd function periodic solutions polynomials positive integers power series Proc quadratic Ramanujan recurrence relations regular inside satisfy second kind singular solution of Mathieu's spheroidal wave functions substitutions surface harmonics theorems theory third kind tions transformation values of h zeros zeta function