Computation of the Incomplete Gamma Function Ratios

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: DiDonato, A R, Hageman, R K
Format: Report
Sprache:eng
Schlagworte:
ALGORITHMS
CDC-6700 COMPUTERS
COMPUTATIONS
Computer Programming and Software
COMPUTER PROGRAMS
FORTRAN
GAMMA FUNCTION
SPECIAL FUNCTIONS(MATHEMATICS)
Theoretical Mathematics
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.