Further Rational Approximations for the Incomplete Gamma Function.

reportActive / Technical Report | Accession Number: ADA072244 | Open PDF

Abstract:

In a previous report we studied rational approximations to the incomplete gamma function. These were based on the asymptotic expansion of the latter function. In the present study, a similar analysis is done for the same function based on one of its ascending series representations. The work is related to other developments, but there are numerous improvements and some new features.

Author(s):
Luke, Yudell L. ; Fair, Wyman G.
Author Organization(s):
MIDWEST RESEARCH INST KANSAS CITY MO
Descriptive Note:
Technical rept.,
Pagination:
0092

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Contract/Grant Number(s):
Nonr-2638(00)
 Subject Terms
Joint Capability Areas:
JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating; JCA_6_Net Centric; JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means; JCA_6.1.3_Switching and Routing; JCA_5_Command and Control; JCA_5.3_Planning; JCA_4.6_Engineering; JCA_6.1_Information Transport
Modernization Areas:
Directed Energy
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*APPROXIMATION(MATHEMATICS), *EXPONENTIAL FUNCTIONS, COMPUTER PROGRAMS, COMPUTATIONS, FORTRAN, INTEGRATION, COEFFICIENTS, ERROR ANALYSIS, ANALYTIC FUNCTIONS, COMPLEX VARIABLES, HYPERGEOMETRIC FUNCTIONS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
*Gamma function, LPN MRI 2229 P
Report Date:
1963 Jul 31