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portada Interpolation and Approximation by Rational Functions in the Complex Domain
Type
Physical Book
Publisher
Author
Collection
Colloquium Publications
Year
1935
Language
English
Format
Paperback
ISBN13
9780821810200

Interpolation and Approximation by Rational Functions in the Complex Domain

American Mathematical Society (Author) · American Mathematical Society · Paperback

Interpolation and Approximation by Rational Functions in the Complex Domain - American Mathematical Society

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Synopsis "Interpolation and Approximation by Rational Functions in the Complex Domain"

Presents functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned.

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.

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