entire functions complex variables (27 Ergebnisse)

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Taschenbuch. Zustand: Neu. Neuware -In this study polynomial approximation and characterizations were done for entire functions in specific Banach spaces (Hardy space, Bergman space, and B(p,q,¿) space), over Jordan Domain then the coefficient characterizations of generalized order and generalized type of entire function of slow growth, in terms of approximation errors in the Banach spaces, and over Jordan domain were obtained.Further, the study was conducted using the exact polynomial approximations as used earlier but for the entire functions of two complex variables. Then the characterizations of order and type of whole functions of two complex variables in terms of approximation errors in Banach spaces, necessary and sufficient conditions for an entire function to have prescribed growth have been obtained in terms of approximation errors by using the L^p norm. The characterizations of order ¿ and type ¿ of whole functions of two complex variables when f is restricted to the domain D for 2¿p¿¿ were also obtained.Books on Demand GmbH, Überseering 33, 22297 Hamburg 84 pp. Englisch.

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Taschenbuch. Zustand: Neu. Neuware -I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 288 pp. Englisch.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In this study polynomial approximation and characterizations were done for entire functions in specific Banach spaces (Hardy space, Bergman space, and B(p,q, ) space), over Jordan Domain then the coefficient characterizations of generalized order and genera.

Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this study polynomial approximation and characterizations were done for entire functions in specific Banach spaces (Hardy space, Bergman space, and B(p,q, ) space), over Jordan Domain then the coefficient characterizations of generalized order and generalized type of entire function of slow growth, in terms of approximation errors in the Banach spaces, and over Jordan domain were obtained.Further, the study was conducted using the exact polynomial approximations as used earlier but for the entire functions of two complex variables. Then the characterizations of order and type of whole functions of two complex variables in terms of approximation errors in Banach spaces, necessary and sufficient conditions for an entire function to have prescribed growth have been obtained in terms of approximation errors by using the L^p norm. The characterizations of order and type of whole functions of two complex variables when f is restricted to the domain D for 2 p were also obtained. 84 pp. Englisch.

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this study polynomial approximation and characterizations were done for entire functions in specific Banach spaces (Hardy space, Bergman space, and B(p,q, ) space), over Jordan Domain then the coefficient characterizations of generalized order and generalized type of entire function of slow growth, in terms of approximation errors in the Banach spaces, and over Jordan domain were obtained.Further, the study was conducted using the exact polynomial approximations as used earlier but for the entire functions of two complex variables. Then the characterizations of order and type of whole functions of two complex variables in terms of approximation errors in Banach spaces, necessary and sufficient conditions for an entire function to have prescribed growth have been obtained in terms of approximation errors by using the L^p norm. The characterizations of order and type of whole functions of two complex variables when f is restricted to the domain D for 2 p were also obtained.

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via t.

Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions. 288 pp. Englisch.

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