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.
| ISBN: | 9780821810200 |
| Publication date: | 30th July 1935 |
| Author: | American Mathematical Society |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Series: | Colloquium Publications |
| Genres: |
Mathematics Calculus and mathematical analysis |
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.
Interpolation and Approximation by Rational Functions in the Complex Domain features in the following genres: Mathematics, Calculus and mathematical analysis
Paperback. Not Available.
Interpolation and Approximation by Rational Functions in the Complex Domain was written by American Mathematical Society and published by American Mathematical Society
Yes it is part of Colloquium Publications series