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Author: Chiu-Cheng Chang Publisher: World Scientific ISBN: 9789810218058 Category : Mathematics Languages : en Pages : 132
Book Description
This book introduces the concept of P¢lya property for holomorphic functions of two and several variables. The functions which have the P¢lya 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 P¢lya property are also 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. This result, in combination with other results, produces many interesting theorems on the approximation of analytic functions. Since functions with P¢lya property have very useful applications, the study of a class of linear operators which preserve the P¢lya property is embarked upon and two sufficient conditions for an operator to be P¢lya-property-preserving are given.
Author: Chiu-Cheng Chang Publisher: World Scientific ISBN: 9789810218058 Category : Mathematics Languages : en Pages : 132
Book Description
This book introduces the concept of P¢lya property for holomorphic functions of two and several variables. The functions which have the P¢lya 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 P¢lya property are also 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. This result, in combination with other results, produces many interesting theorems on the approximation of analytic functions. Since functions with P¢lya property have very useful applications, the study of a class of linear operators which preserve the P¢lya property is embarked upon and two sufficient conditions for an operator to be P¢lya-property-preserving are given.
Author: Wallace Hayes Publisher: Elsevier ISBN: 032314876X Category : Technology & Engineering Languages : en Pages : 481
Book Description
Hypersonic Flow Theory presents the fundamentals of fluid mechanics, focusing on the hypersonic flow theory and approaches in theoretical aerodynamics. This book discusses the assumptions underlying hypersonic flow theory, unified supersonic-hypersonic similitude, two-dimensional and axisymmetric bodies, and circular cylinder. The constant-streamtube-area approximation, streamtube-continuity methods, and tangent-wedge and tangent-cone are also deliberated. This text likewise covers the similar laminar boundary layer solutions, bluntness induced interactions on slender bodies, and free molecule transfer theory. The dynamics of hypersonic flight or hypersonic wing theory, magnetohydrodynamic theory, or any developments involving treatment of the Boltzmann equation are not included. This publication is intended for hypersonic aerodynamicists, students, and researchers conducting work on the hypersonic flow phenomena.
Author: Chiu-cheng Chang Publisher: World Scientific ISBN: 9813209992 Category : Mathematics Languages : en Pages : 128
Book Description
This book introduces the concept of Pólya property for holomorphic functions of two and several variables. The functions which have the Pólya 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 Pólya property are also 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. This result, in combination with other results, produces many interesting theorems on the approximation of analytic functions. Since functions with Pólya property have very useful applications, the study of a class of linear operators which preserve the Pólya property is embarked upon and two sufficient conditions for an operator to be Pólya-property-preserving are given.
Author: Anupam Gupta Publisher: Springer ISBN: 3642325122 Category : Computers Languages : en Pages : 687
Book Description
This book constitutes the joint refereed proceedings of the 15th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2012, and the 16th International Workshop on Randomization and Computation, RANDOM 2012, held in Cambridge, Massachusetts, USA, in August 2011. The volume contains 28 contributed papers, selected by the APPROX Program Committee out of 70 submissions, and 28 contributed papers, selected by the RANDOM Program Committee out of 67 submissions. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.
Author: New York Public Library Staff Publisher: Macmillan Reference USA ISBN: 9780783813202 Category : Reference Languages : en Pages : 684
Book Description
An aid for reseaching non-western cultures, the Bibliographic Guide to East Asian Studies covers Japan, China, North and South Korea, Honk Kong, and Taiwan, with approximately 3,500 listings from LC MARC tapes and the Oriental Division of The New York Public Library. It includes publications about East Asia; materials published in any of the relevant countries; and publications in the Chinese, Japanese and Korean languages. Listings are transcribed into Anglicised characters. Each entry provides complete bibliographic information, along with the NYPL and/or LC call numbers.
Author: Chiu-Cheng Chang
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Author: Wallace Hayes
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Author: Anupam Gupta
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Author: New York Public Library Staff