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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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A note on expansions involving Meijer’s $G$-functions
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by Arun Verma PDF
Math. Comp. 21 (1967), 107-112 Request permission
References
    R. P. Agarwal, "An extention of Meijer’s $G$-function", Proc. Nat. Inst. Sci. India. Sect. A, v. 32, 1965.
  • Herbert Buchholz, Bemerkungen zu einer Entwicklungsformel aus der Theorie der Zylinderfunktionen, Z. Angew. Math. Mech. 25(27) (1947), 245–252 (German, with Russian summary). MR 22946
  • J. L. Burchnall and T. W. Chaundy, Expansions of Appell’s double hypergeometric functions, Quart. J. Math. Oxford Ser. 11 (1940), 249–270. MR 3885, DOI 10.1093/qmath/os-11.1.249
  • R. G. Cooke, Proc. London. Math. Soc., v. 28, 1928, pp. 207–241. A. Erdélyi, et al., Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953. MR 16, 419. C. S. Meijer, "Expansion theorems for the $G$-functions. I-X," Indag. Math., v. 14, 1952, pp. 369–379 and 483–487; v. 15, 1953, pp. 43–49, 187–193 and 349–357; v. 16, 1954, pp. 77–82, 83–91 and 273–279; v. 17, 1955, pp. 243–251 and 309–314. MR 14, 469; MR 14, 642; MR 14, 748; MR 14, 979; MR 15, 422; MR 16, 791; MR 15, 955; MR 16, 1106. A. Verma, "A class of expansions of $G$-functions and the Laplace transform," Math. Comp., v. 19, 1965, pp. 661–664. A. Verma, "Expansions of hypergeometric functions of two variables", Math. Comp., v. 20, 1966, 590–596. A. Verma, "A note on an expansion of hypergeometric functions of two variables", Math. Comp., v. 20, 1966, 413–417.
  • Jet Wimp and Yudell L. Luke, Expansion formulas for generalized hypergeometric functions, Rend. Circ. Mat. Palermo (2) 11 (1962), 351–366. MR 166405, DOI 10.1007/BF02843879
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Additional Information
  • © Copyright 1967 American Mathematical Society
  • Journal: Math. Comp. 21 (1967), 107-112
  • MSC: Primary 33.21
  • DOI: https://doi.org/10.1090/S0025-5718-1967-0223615-1
  • MathSciNet review: 0223615