Asymptotic estimates and entire functions, tr
Author: M. A. Evgrafov
Publisher:
Published:
Total Pages:
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: M. A. Evgrafov
Publisher:
Published:
Total Pages:
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DOWNLOAD EBOOKAuthor: 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:
ISBN-13:
DOWNLOAD EBOOKAuthor: Lev Maergoiz
Publisher:
Published: 2014-01-15
Total Pages: 390
ISBN-13: 9789401708081
DOWNLOAD EBOOKAuthor: 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: 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: Dieter Gaier
Publisher:
Published: 1979
Total Pages: 14
ISBN-13:
DOWNLOAD EBOOKAuthor: Frank Olver
Publisher: CRC Press
Published: 1997-01-24
Total Pages: 591
ISBN-13: 1439864543
DOWNLOAD EBOOKA classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Author: Doctor Ronen Peretz
Publisher:
Published: 1989*
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOKAuthor: F. W. J. Olver
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 589
ISBN-13: 148326744X
DOWNLOAD EBOOKAsymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations with regular singularities are also considered, with emphasis on hypergeometric and Legendre functions. Comprised of 14 chapters, this volume begins with an introduction to the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on asymptotic theories of definite integrals containing a parameter. Contour integrals as well as integrals of a real variable are described. Subsequent chapters deal with the analytic theory of ordinary differential equations; differential equations with regular and irregular singularities; sums and sequences; and connection formulas for solutions of differential equations. The book concludes with an evaluation of methods used in estimating (as opposed to bounding) errors in asymptotic approximations and expansions. This monograph is intended for graduate mathematicians, physicists, and engineers.