Demonstration of a Jacobi Polynomial Representation of a Kronecker Delta Function.

reportActive / Technical Report | Accession Number: ADA160460 | Open PDF

Abstract:

A formula derived b Noble has been generalized to obtain an expansion of the Kronecker delta function as and infinite series involving the products of two Jacobi polynomials. For the inviscid, incompressible flow of rotating fluid shells confined between concentric, spherical, rigid, co-rotating boundaries one needs this proof. Keywords Kronecker delta function Jacobi polynomials Fluid shells.

Author(s):
Farrell, R. A. ; Gray, E. P. ; Hart, R. W.
Author Organization(s):
JOHNS HOPKINS UNIV LAUREL MD APPLIED PHYSICS LAB
Descriptive Note:
Technical memo.,
Pagination:
0015

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
JHU/APL-TG-1350
Contract/Grant Number(s):
N00024-85-C-5301
Project Number(s):
X83J
 Subject Terms
Joint Capability Areas:
JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*NUMERICAL ANALYSIS, *POLYNOMIALS, *INVISCID FLOW, *INCOMPRESSIBLE FLOW, SHELLS(STRUCTURAL FORMS), BOUNDARIES, FLUIDS, INFINITE SERIES, ROTATION, FUNCTIONS(MATHEMATICS)
Field(s)/Group(s):
Numerical Mathematics, Fluid Mechanics
Keyword(s):
*Jacobi polynomials, *Kronecker delta functions, fluid shells
Report Date:
1985 Sep 01