Higher Transcendental Functions, المجلد 1

½ log ½ µ ½µ ½π a₂ analytic continuation analytic function asymptotic expansion B₁ B₂ B₂n Bailey Bernoulli Bernoulli polynomials Burchnall Chaundy coefficients confluent hypergeometric functions contour converges cosh defined denotes differential equation Erdélyi Euler's expression F ½ F a,b F₂ follows formula func G-function G. N. Watson gamma function Gauss Goursat Hence hypergeo hypergeometric equation hypergeometric series integer integral representations integrand Legendre functions linear linearly independent solutions London Math lower sign MacRobert notation numbers obtain one-valued P(cos P₁ P₂ parameters poles polynomials positive integer Proc proved Qu(z quadratic transformations Quart real axis relations Riemann right-hand side singularities sinh theorem tion valid values variable zero г ½