Accession Number : AD0744123

Title :   On Determinants and the Pade Table.

Descriptive Note : Doctoral thesis,

Corporate Author : COLORADO STATE UNIV FORT COLLINS DEPT OF MATHEMATICS

Personal Author(s) : Wynn,Jan Eugene

Report Date : MAY 1972

Pagination or Media Count : 90

Abstract : The thesis is concerned with the Pade table for particular functions. For each, two theorems are given in which the Pade numerators and Pade denominators are expresses as quotients of certain determinants. Depending on the location in the table, one theorem is preferred over the other in finding the Pade approximant under consideration. Further, some identities are established between certain determinants whose elements are coefficients of a power series and certain determinants, of generally different order, whose elements are coefficients of the reciprocal series. Such identities are used to evaluate several specific persymmetric and nearly persymmetric determinants of arbitrary order. (Author)

Descriptors :   (*POWER SERIES, TABLES(DATA)), (*DETERMINANTS(MATHEMATICS), APPROXIMATION(MATHEMATICS)), COMPLEX VARIABLES, FUNCTIONS(MATHEMATICS), CONVERGENCE, THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE