Accession Number:

AD0832201

Title:

KONIG'S THEOREM AND A POSSIBLE GENERALIZATION.

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

• Johnson, Patricia C.

Report Date:

1968-03-01

Pagination or Media Count:

45.0

Abstract:

The possibility of generalizing Konigs Theorem to functions of more than one variable is investigated. The generalized Taylor series expansion of a function of several variables is introduced, and the ratio of coefficients in the expansion is defined using Frechet derivatives. It is shown that for a particular example of a function of two variables the generalized Konigs Theorem holds. The theorem is then shown to hold for a large class of functions. Author

Descriptors:

• *FUNCTIONAL ANALYSIS
• THEOREMS
• THEOREMS
• TAYLORS SERIES
• COMPLEX VARIABLES
• TRANSFORMATIONS(MATHEMATICS)
• MATRICES(MATHEMATICS)
• CONVERGENCE
• SEQUENCES(MATHEMATICS)
• THESES

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE