Unified Approach To Uniqueness, Expansion And Approximation Problems, A

Name: Unified Approach To Uniqueness, Expansion And Approximation Problems, A
Brand: World Scientific Publishing Co Pte Ltd
SKU: 9789810218058
Price: 248.1 PLN
Availability: InStock

Autor: Chin-Cheng Chang

Język:

Oprawa: Twarda

Wydawca: World Scientific Publishing Co Pte Ltd

Dostępność: 50 % szansa

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This text introduces the concept of Polya property for holomorphic functions of two and several vari...

Informacje o książce

Autor

Chin-Cheng Chang

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

1994

strony

120

EAN

9789810218058

ISBN

9810218052

Enbook ID

05064781

Wydawca

World Scientific Publishing Co Pte Ltd

Waga

Pełny opis

This text introduces the concept of Polya property for holomorphic functions of two and several variables. The functions which have the Polya property are used to study the uniqueness problem for entire functions. This gives interesting results for a general class of generating functions. The functions with Polya property are used as generating kernels in formal generating relations to study the expansion problem for entire functions. A necessary and sufficient condition is obtained for an entire function to have a unique expansion in a series of various known polynomials generated from the formal generating relations. In this book it is shown that the uniqueness problem for entire functions of exponential type is equivalent to the approximation problem for analytic functions. Since functions with Polya property have very useful applications, the study of a class of linear operators which preserve the Polya property is embarked upon and two sufficient conditions for an operator to be Polya-property-preserving are given.

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Unified Approach To Uniqueness, Expansion And Approximation Problems, A

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Pełny opis

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