Jacobi polynomial expansions of a generalized hypergeometric function over a semi-infinite ray
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- by Y. L. Luke and J. Wimp PDF
- Math. Comp. 17 (1963), 395-404 Request permission
References
-
A. Erdélyi, W. Magnus, F. Oberhettinger, & F. G. Tricomi, Higher Transcendental Functions, v. 1 and 2, McGraw-Hill, New York, 1953.
Jet Wimp, “Polynomial approximations to integral transforms,” Math. Comp., v. 15, p. 174-178.
- Jerry L. Fields and Jet Wimp, Expansions of hypergeometric functions in hypergeometric functions, Math. Comp. 15 (1961), 390–395. MR 125992, DOI 10.1090/S0025-5718-1961-0125992-3
- Jet Wimp, Polynomial expansions of Bessel functions and some associated functions, Math. Comp. 16 (1962), 446–458. MR 148956, DOI 10.1090/S0025-5718-1962-0148956-3
- 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
- Jerry L. Fields and Jet Wimp, Basic series corresponding to a class of hypergeometric polynomials, Proc. Cambridge Philos. Soc. 59 (1963), 599–605. MR 150350 C. W. Clenshaw, Chebyshev Series for Mathematical Functions, Math. Tables, v. 5, National Physical Laboratory, London, 1962.
- Earl D. Rainville, Special functions, The Macmillan Company, New York, 1960. MR 0107725
- M. Goldstein and R. M. Thaler, Recurrence techniques for the calculation of Bessel functions, Math. Tables Aids Comput. 13 (1959), 102–108. MR 105794, DOI 10.1090/S0025-5718-1959-0105794-5
- Fernando J. Corbató and Jack L. Uretsky, Generation of spherical Bessel functions in digital computers, J. Assoc. Comput. Mach. 6 (1959), 366–375. MR 105792, DOI 10.1145/320986.320991
- Irene A. Stegun and Milton Abramowitz, Generation of Bessel functions on high speed computers, Math. Tables Aids Comput. 11 (1957), 255–257. MR 93939, DOI 10.1090/S0025-5718-1957-0093939-3
- Walter Gautschi, Recursive computation of the repeated integrals of the error function, Math. Comp. 15 (1961), 227–232. MR 136074, DOI 10.1090/S0025-5718-1961-0136074-9
- Walter Gautschi, Recursive computation of certain integrals, J. Assoc. Comput. Mach. 8 (1961), 21–40. MR 119392, DOI 10.1145/321052.321054
- Jerry L. Fields and Yudell L. Luke, Asymptotic expansions of a class of hypergeometric polynomials with respect to the order. II, J. Math. Anal. Appl. 7 (1963), 440–451. MR 157015, DOI 10.1016/0022-247X(63)90066-0
- Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Math. Comp. 17 (1963), 395-404
- MSC: Primary 33.20
- DOI: https://doi.org/10.1090/S0025-5718-1963-0157014-4
- MathSciNet review: 0157014