hypergeometric R-function
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11: 15.17 Mathematical Applications
§15.17 Mathematical Applications
… ► … ►§15.17(iv) Combinatorics
… ► ►§15.17(v) Monodromy Groups
…12: 16.26 Approximations
§16.26 Approximations
►For discussions of the approximation of generalized hypergeometric functions and the Meijer -function in terms of polynomials, rational functions, and Chebyshev polynomials see Luke (1975, §§5.12 - 5.13) and Luke (1977b, Chapters 1 and 9).13: 8.5 Confluent Hypergeometric Representations
§8.5 Confluent Hypergeometric Representations
►For the confluent hypergeometric functions , , , and the Whittaker functions and , see §§13.2(i) and 13.14(i). ►
8.5.1
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8.5.2
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8.5.3
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14: 13.25 Products
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13.25.1
►For integral representations, integrals, and series containing products of and see Erdélyi et al. (1953a, §6.15.3).
15: 15.1 Special Notation
16: 17.15 Generalizations
§17.15 Generalizations
…17: 17.17 Physical Applications
18: 35.10 Methods of Computation
§35.10 Methods of Computation
… ►See Yan (1992) for the and functions of matrix argument in the case , and Bingham et al. (1992) for Monte Carlo simulation on applied to a generalization of the integral (35.5.8). …19: 13.32 Software
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►In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter.
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►A more complete list of available software for computing these functions is found in the Software Index.
For another listing of Web-accessible software for the functions in this chapter, see GAMS (class C11).
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