Ebook: Higher transcendental functions

vol. 1. The gamma function -- The hypergeometric function -- Legendre functions -- The generalized hypergeometric series -- Further generalizations of the hypergeometric function -- The confluent hypergeometric function -- vol. 2. Bessel functions -- Functions of the parabolic cylinder and of the paraboloid of revolution -- The incomplete gamma functions and related functions -- Orthogonal polynomials -- Spherical and hyperspherical harmonic polynomials -- Orthogonal polynomials in several variables -- Elliptic functions and integrals -- vol. 3. Automorphic functions -- Lamé functions -- Mathieu functions, spheroidal and ellipsoidal wave functions -- Introduction to the functions of number theory -- Miscellaneous functions -- Generating functions