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Author: M.A. Evgrafov
Publisher: Courier Dover Publications
Published: 2020-04-15
Total Pages: 194
ISBN-13: 0486842355
DOWNLOAD EBOOKThis three-chapter treatment introduces principal methods, discusses the theory of entire functions of finite order, and applies the first chapter's methods to the functions of the second chapter. 1961 edition.
Author: Marat Andreevich Evgrafov
Publisher:
Published: 1957
Total Pages:
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DOWNLOAD EBOOKAuthor: M. A. Evgrafov
Publisher:
Published:
Total Pages:
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DOWNLOAD EBOOKAuthor: H. S. Gopalakrishna
Publisher:
Published: 1971
Total Pages: 256
ISBN-13:
DOWNLOAD EBOOKAuthor: L.S. Maergoiz
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 382
ISBN-13: 940170807X
DOWNLOAD EBOOKThis revised and enlarged second edition is devoted to asymptotical questions of the theory of entire and plurisubharmonic functions. A separate chapter deals with applications in biophysics. The book is of interest to research specialists in theoretical and applied mathematics, postgraduates and students who are interested in complex and real analysis and its applications.
Author: L.S. Maergoiz
Publisher: Boom Koninklijke Uitgevers
Published: 2003-08-31
Total Pages: 432
ISBN-13: 9781402014628
DOWNLOAD EBOOKThis revised and enlarged second edition is devoted to asymptotical questions of the theory of entire and plurisubharmonic functions. A separate chapter deals with applications in biophysics. The book is of interest to research specialists in theoretical and applied mathematics, postgraduates and students who are interested in complex and real analysis and its applications.
Author: Lev Maergoiz
Publisher:
Published: 2014-01-15
Total Pages: 390
ISBN-13: 9789401708081
DOWNLOAD EBOOKAuthor: F. W. J. Olver
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 312
ISBN-13: 1483267083
DOWNLOAD EBOOKIntroduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable are discussed, along with contour integrals and differential equations with regular and irregular singularities. The Liouville-Green approximation is also considered. Comprised of seven chapters, this volume begins with an overview of the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on integrals of a real variable. Contour integrals are then examined, paying particular attention to Laplace integrals with a complex parameter and Bessel functions of large argument and order. Subsequent chapters focus on differential equations having regular and irregular singularities, with emphasis on Legendre functions as well as Bessel and confluent hypergeometric functions. A chapter devoted to the Liouville-Green approximation tackles asymptotic properties with respect to parameters and to the independent variable, eigenvalue problems, and theorems on singular integral equations. This monograph is intended for students needing only an introductory course to asymptotics and special functions.
Author: R. Wong
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 561
ISBN-13: 1483220710
DOWNLOAD EBOOKAsymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also discussed, along with double integrals with a curve of stationary points. For completeness, classical methods are examined as well. Comprised of nine chapters, this volume begins with an introduction to the fundamental concepts of asymptotics, followed by a discussion on classical techniques used in the asymptotic evaluation of integrals, including Laplace's method, Mellin transform techniques, and the summability method. Subsequent chapters focus on the elementary theory of distributions; the distributional approach; uniform asymptotic expansions; and integrals which depend on auxiliary parameters in addition to the asymptotic variable. The book concludes by considering double integrals and higher-dimensional integrals. This monograph is intended for graduate students and research workers in mathematics, physics, and engineering.
Author: Svetlana M. Bauer
Publisher: Birkhäuser
Published: 2015-05-30
Total Pages: 342
ISBN-13: 3319183117
DOWNLOAD EBOOKThe construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.
