Accession Number:

AD0017504

Title:

THE FINITE STURM-LIOUVILLE TRANSFORM

Personal Author(s):

Corporate Author:

ILLINOIS INST OF TECH CHICAGO

Report Date:

1953-08-01

Abstract:

Special transforms whose intervals are finite are unified and extended. A kernel is employed which may be determined to suit each particular type of problem. The Sturm-Liousville expansion is obtained for fx when fx is an integral function over a,b and a alxlb. The finite Sturm-Liouville transform is defined. Solutions are ontianed for some partial differential equations. Consideration is given to spherical harmonics Hermite and Tchebycheff polynomials and Bessel, Mathieu, and Wittaker functions. A heat conduction problem for which the solution was not known was successfully solved.

Descriptive Note:

Technical rept.

Pages:

0027

Subject Categories:

Communities Of Interest:

Modernization Areas:

Distribution Statement:

Approved for public release; distribution is unlimited.

Contract Number:

N7ONR-32909

File Size:

0.78MB