Some integrals of Ramanujan and related contour integrals
HTML articles powered by AMS MathViewer
- by Van E. Wood PDF
- Math. Comp. 20 (1966), 424-429 Request permission
References
- H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford, at the Clarendon Press, 1947. MR 0022294
- R. H. Ritchie and A. Y. Sakakura, Asymptotic expansions of solutions of the heat conduction equation in internally bounded cylindrical geometry, J. Appl. Phys. 27 (1956), 1453–1459. MR 83911 L. V. Spencer & U. Fano, Phys. Rev., v. 93, 1954, pp. 1172–1181. G. H. Hardy, Ramanujan, Cambridge Univ. Press, Cambridge; Macmillan, New York, 1940, pp. 195–198. MR 2, 210. V. Volterra, Atti. Accad. Lincei Mem. Cl. Sci. Fiz. Mat. Nat., v. 11, 1916, pp. 167–249.
- Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, and Francesco G. Tricomi, Higher transcendental functions. Vol. III, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. Based, in part, on notes left by Harry Bateman. MR 0066496 A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953, p. 266. MR 15, 419.
- Philip Rabinowitz and George Weiss, Tables of abcissas and weights for numerical evaluation of integrals of the form $\int _{0}^{\infty }\,e^{-x}x^{n}f(x)\,dx$, Math. Tables Aids Comput. 13 (1959), 285–294. MR 107992, DOI 10.1090/S0025-5718-1959-0107992-3
- Josef Stoer, A direct method for Chebyshev approximation by rational functions, J. Assoc. Comput. Mach. 11 (1964), 59–69. MR 164180, DOI 10.1145/321203.321211
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Math. Comp. 20 (1966), 424-429
- DOI: https://doi.org/10.1090/S0025-5718-66-99927-3