Interpolation and Approximation by Rational Functions in the Complex Domain (COLLOQUIUM PUBLICATIONS (AMER MATHEMATICAL SOC)) - Softcover

J. L. Walsh

 
9780821810200: Interpolation and Approximation by Rational Functions in the Complex Domain (COLLOQUIUM PUBLICATIONS (AMER MATHEMATICAL SOC))
Softcover
ISBN 10: 0821810200 ISBN 13: 9780821810200
Publisher: American Mathematical Society, 1935

Synopsis

The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.

"synopsis" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
1935
Language
English
ISBN 10 
0821810200
ISBN 13 
9780821810200
Binding
Paperback
Edition number
3
Number of pages
405