inverse incomplete gamma function
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11—14 of 14 matching pages
11: 19.37 Tables
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►Tabulated for to 6D by Byrd and Friedman (1971) and to 15D by Abramowitz and Stegun (1964, Chapter 17).
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►Tabulated for to 6D by Byrd and Friedman (1971) and to 15D by Abramowitz and Stegun (1964, Chapter 17).
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§19.37(iii) Legendre’s Incomplete Integrals
… ►Tabulated for , to 6D by Byrd and Friedman (1971), for , and to 8D by Abramowitz and Stegun (1964, Chapter 17), and for , to 9D by Zhang and Jin (1996, pp. 674–675). … ►Tabulated (with different notation) for , , to 5D by Abramowitz and Stegun (1964, Chapter 17), and for , , to 7D by Zhang and Jin (1996, pp. 676–677). …12: Bibliography C
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The inverse of the error function.
Pacific J. Math. 13 (2), pp. 459–470.
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Power series for inverse Jacobian elliptic functions.
Math. Comp. 77 (263), pp. 1615–1621.
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Asymptotics and closed form of a generalized incomplete gamma function.
J. Comput. Appl. Math. 67 (2), pp. 371–379.
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Generalized incomplete gamma functions with applications.
J. Comput. Appl. Math. 55 (1), pp. 99–124.
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On a Class of Incomplete Gamma Functions with Applications.
Chapman & Hall/CRC, Boca Raton, FL.
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13: 3.10 Continued Fractions
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►For example, by converting the Maclaurin expansion of (4.24.3), we obtain a continued fraction with the same region of convergence (, ), whereas the continued fraction (4.25.4) converges for all except on the branch cuts from to and to .
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►For applications to Bessel functions and Whittaker functions (Chapters 10 and 13), see Gargantini and Henrici (1967).
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►For elementary functions, see §§ 4.9 and 4.35.
►For special functions see §5.10 (gamma function), §7.9 (error function), §8.9 (incomplete gamma functions), §8.17(v) (incomplete beta function), §8.19(vii) (generalized exponential integral), §§10.10 and 10.33 (quotients of Bessel functions), §13.6 (quotients of confluent hypergeometric functions), §13.19 (quotients of Whittaker functions), and §15.7 (quotients of hypergeometric functions).
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►In Gautschi (1979c) the forward series algorithm is used for the evaluation of a continued fraction of an incomplete gamma function (see §8.9).
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14: Bibliography K
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Tables of the Incomplete Gamma Function Ratio: The Chi-square Integral, the Poisson Distribution.
Justus von Liebig Verlag, Darmstadt (German, English).
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Comment on “The incomplete beta function law for parallel tempering sampling of classical canonical systems” [J. Chem. Phys. 120, 4119 (2004)].
J. Chem. Phys. 121 (2), pp. 1167.
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Complex zeros of an incomplete Riemann zeta function and of the incomplete gamma function.
Math. Comp. 24 (111), pp. 679–696.
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Complex zeros of two incomplete Riemann zeta functions.
Math. Comp. 26 (118), pp. 551–565.
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On the zeros of the incomplete gamma function.
Math. Comp. 26 (119), pp. 751–755.
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