An Integral of Products of Legendre Functions and a Clebsch-Gordan Sum.

reportActive / Technical Report | Accession Number: ADA103881 | Open PDF

Abstract:

New proofs and extensions are given of a sum considered by A. M. Din involving Clebsch-Gordan coefficients with zero magnetic quantum numbers and of an integral involving the product of three Legendre functions, one of the second kind. Author

Author(s):
Askey, Richard
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Supplementary Note:
DOI: 10.21236/ADA103881
Pagination:
0008

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2250, ARO-16415.136-MA
Contract/Grant Number(s):
DAAG29-80-C-0041, NSF-MCS81-01568
Monitor Series:
16415.136-MA
 Subject Terms
Joint Capability Areas:
JCA_1.2_Force Preparation; JCA_1_Force Support
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*INTEGRAL EQUATIONS, *LEGENDRE FUNCTIONS, POLYNOMIALS, DIFFERENTIAL EQUATIONS, ORTHOGONALITY, HYPERGEOMETRIC FUNCTIONS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
Clebsch Gordan coefficients
Report Date:
1981 Jul 01