Higher Transcendental Functions, المجلد 1

½µ according analytic continuation applying assume asymptotic B₂ Chapter circle coefficients complete confluent connected consider constant contour converges cosh defined definition denotes derived differential equation easily equal Erdélyi Euler's expansions expression F a,b follows formula gamma Gauss given gives Hence hypergeometric equation hypergeometric functions hypergeometric series indented independent integral representations integrand linear London loop Math means multiplication notation numbers obtain parameters points poles polynomials positive Proc proved Read real axis REFERENCES relations replaced residues respectively Riemann's right-hand side satisfies shown singularities sinh solutions substitution term theorem theory tion transformation valid values variable zero