Value Distribution for Solutions of Complex Differential Equations in the Unit Disk PDF Download
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Author: Djamel Benbourenane
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 274
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Book Description
Author: Djamel Benbourenane
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 274
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Book Description
Author: Janne Heittokangas
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 62
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Book Description
Author: Flaviano Battelli
Publisher: Elsevier
ISBN: 0080559468
Category : Mathematics
Languages : en
Pages : 719
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Book Description
This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real-world applications - Written for mathematicians and scientists of many related fields
Author: Ronghua Yang
Publisher:
ISBN: 9789524587990
Category : Differential equations
Languages : en
Pages : 27
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Book Description
This survey part of the thesis contains some background to the studies on value distribution of solutions of complex linear differential equations. We obtain conditions for homogeneous equations under which all non-trivial solutions are of infinite order of growth. Further, we show that the order of the generic solution of a certain type of nonhomogeneous second order equation is infinite.
Author: Grigor A. Barsegian
Publisher: Springer Science & Business Media
ISBN: 1402079516
Category : Mathematics
Languages : en
Pages : 331
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Book Description
The Nevanlinna theory of value distribution of meromorphic functions, one of the milestones of complex analysis during the last century, was c- ated to extend the classical results concerning the distribution of of entire functions to the more general setting of meromorphic functions. Later on, a similar reasoning has been applied to algebroid functions, subharmonic functions and meromorphic functions on Riemann surfaces as well as to - alytic functions of several complex variables, holomorphic and meromorphic mappings and to the theory of minimal surfaces. Moreover, several appli- tions of the theory have been exploited, including complex differential and functional equations, complex dynamics and Diophantine equations. The main emphasis of this collection is to direct attention to a number of recently developed novel ideas and generalizations that relate to the - velopment of value distribution theory and its applications. In particular, we mean a recent theory that replaces the conventional consideration of counting within a disc by an analysis of their geometric locations. Another such example is presented by the generalizations of the second main theorem to higher dimensional cases by using the jet theory. Moreover, s- ilar ideas apparently may be applied to several related areas as well, such as to partial differential equations and to differential geometry. Indeed, most of these applications go back to the problem of analyzing zeros of certain complex or real functions, meaning in fact to investigate level sets or level surfaces.
Author: L Brugnano
Publisher: CRC Press
ISBN: 9789056991074
Category : Mathematics
Languages : en
Pages : 438
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Book Description
The numerical approximation of solutions of differential equations has been, and continues to be, one of the principal concerns of numerical analysis and is an active area of research. The new generation of parallel computers have provoked a reconsideration of numerical methods. This book aims to generalize classical multistep methods for both initial and boundary value problems; to present a self-contained theory which embraces and generalizes the classical Dahlquist theory; to treat nonclassical problems, such as Hamiltonian problems and the mesh selection; and to select appropriate methods for a general purpose software capable of solving a wide range of problems efficiently, even on parallel computers.
Author: Ilpo Laine
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 84
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Book Description
Author: Norman Hay Mines
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 86
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Book Description
Author: Javad Mashreghi
Publisher: Springer Science & Business Media
ISBN: 1461453410
Category : Mathematics
Languages : en
Pages : 324
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Book Description
​Blaschke Products and Their Applications presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few. Additionally, this volume illustrates the historical roots of Blaschke products and highlights key research on this topic. For nearly a century, Blaschke products have been researched. Their boundary behaviour, the asymptomatic growth of various integral means and their derivatives, their applications within several branches of mathematics, and their membership in different function spaces and their dynamics, are a few examples of where Blaschke products have shown to be important. The contributions written by experts from various fields of mathematical research will engage graduate students and researches alike, bringing the reader to the forefront of research in the topic. The readers will also discover the various open problems, enabling them to better pursue their own research.
Author: Joji Kajiwara
Publisher: CRC Press
ISBN: 1482270595
Category : Mathematics
Languages : en
Pages : 656
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Book Description
This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.
