The asymptotic expansion of the Meijer $G$-function
HTML articles powered by AMS MathViewer
- by Jerry L. Fields PDF
- Math. Comp. 26 (1972), 757-765 Request permission
Abstract:
Gamma function identities are integrated to expand the Meijer $G$-function in a basic set of functions, each of which is simply characterized asymptotically.References
-
C. S. Meijer, โOn the $G$-function. I-VIII,โ Nederl. Akad. Wetensch. Proc. Ser. A, v. 49, 1946, pp. 227-237, 344-356, 457-469, 632-641, 765-772, 936-943, 1063-1072, 1165-1175 = Indag. Math., v. 8, 1946, pp. 124-134, 213-225, 312-324, 391-400, 468-475, 595-602, 661-670, 713-723. MR 8, 156; MR 8, 379.
Y. L. Luke, The Special Functions and Their Approximations. Vols. I, II, Math. in Sci. and Engineering, Vol. 53, Academic Press, New York, 1969. MR 39 #3039; MR 40 #2909.
E. W. Barnes, โThe asymptotic expansion of integral functions defined by generalized hypergeometric series,โ Proc. London Math. Soc. (2), v. 5, 1907, pp. 59-116.
- Jerry L. Fields, A linear scheme for rational approximations, J. Approximation Theory 6 (1972), 161โ175. MR 346383, DOI 10.1016/0021-9045(72)90072-x
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 757-765
- MSC: Primary 33A35; Secondary 65D20
- DOI: https://doi.org/10.1090/S0025-5718-1972-0361202-7
- MathSciNet review: 0361202