Computation of the Incomplete Gamma Function Ratios

A method, made up of several algorithms, is given for computing the incomplete gamma function ratio, P(a, x) and its complement Q(a, x) for all real arguments a 0, x or = 0. The difficult case when a and x are large is treated by a modified version of Takenaga's method. The resulting computer p...

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Hauptverfasser:	DiDonato, A R, Hageman, R K
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Sprache:	eng
Schlagworte:	ALGORITHMS CDC-6700 COMPUTERS COMPUTATIONS Computer Programming and Software COMPUTER PROGRAMS FORTRAN GAMMA FUNCTION SPECIAL FUNCTIONS(MATHEMATICS) Theoretical Mathematics
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creator	DiDonato, A R Hageman, R K
description	A method, made up of several algorithms, is given for computing the incomplete gamma function ratio, P(a, x) and its complement Q(a, x) for all real arguments a 0, x or = 0. The difficult case when a and x are large is treated by a modified version of Takenaga's method. The resulting computer program is efficient, yields both P and Q correctly to within 1 unit in the twelfth significant digit, or, at the user's option, to within one unit in the sixth or third significant digit. A FORTRAN listing of the program is included. GIDEP-195.45.00.00-W4-02.
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The difficult case when a and x are large is treated by a modified version of Takenaga's method. The resulting computer program is efficient, yields both P and Q correctly to within 1 unit in the twelfth significant digit, or, at the user's option, to within one unit in the sixth or third significant digit. A FORTRAN listing of the program is included. GIDEP-195.45.00.00-W4-02.</description><language>eng</language><subject>ALGORITHMS ; CDC-6700 COMPUTERS ; COMPUTATIONS ; Computer Programming and Software ; COMPUTER PROGRAMS ; FORTRAN ; GAMMA FUNCTION ; SPECIAL FUNCTIONS(MATHEMATICS) ; Theoretical Mathematics</subject><creationdate>1976</creationdate><rights>Approved for public release; distribution is unlimited. 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subjects	ALGORITHMS CDC-6700 COMPUTERS COMPUTATIONS Computer Programming and Software COMPUTER PROGRAMS FORTRAN GAMMA FUNCTION SPECIAL FUNCTIONS(MATHEMATICS) Theoretical Mathematics
title	Computation of the Incomplete Gamma Function Ratios
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