Asymptotic Expansions And Analytic Contuniations For A Class Of Barnes Integrals PDF Download
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Author | : Boele Lieuwe Jan Braaksma |
Publisher | : |
Total Pages | : 116 |
Release | : 1963 |
Genre | : Asymptotic expansions |
ISBN | : |
Download Asymptotic Expansions and Analytic Continuations for a Class of Barnes-integrals Book in PDF, ePub and Kindle
Author | : Norman Bleistein |
Publisher | : Courier Corporation |
Total Pages | : 453 |
Release | : 1986-01-01 |
Genre | : Mathematics |
ISBN | : 0486650820 |
Download Asymptotic Expansions of Integrals Book in PDF, ePub and Kindle
Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.
Author | : R. B. Paris |
Publisher | : Cambridge University Press |
Total Pages | : 452 |
Release | : 2001-09-24 |
Genre | : Mathematics |
ISBN | : 9781139430128 |
Download Asymptotics and Mellin-Barnes Integrals Book in PDF, ePub and Kindle
Asymptotics and Mellin-Barnes Integrals, first published in 2001, provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behaviour of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in other standard references on asymptotics.
Author | : Boele Lieuwe Jan Braaksma |
Publisher | : |
Total Pages | : 111 |
Release | : 1963 |
Genre | : |
ISBN | : |
Download Asymptotic Expansions and Analytic Contuniations for a Class of Barnes-integrals Book in PDF, ePub and Kindle
Author | : Norman Bleistein |
Publisher | : Ardent Media |
Total Pages | : 456 |
Release | : 1975 |
Genre | : Mathematics |
ISBN | : 9780030835964 |
Download Asymptotic Expansions of Integrals Book in PDF, ePub and Kindle
Coherent, systematic coverage of standard methods: integration by parts, Watson's lemma, LaPlace's method, stationary phase and steepest descents. Also includes Mellin transform method and less elementary aspects of the method of steepest descents. Abundant exercises. 1975 edition.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1907 |
Genre | : |
ISBN | : |
Download Русская муза Book in PDF, ePub and Kindle
Author | : Thanh Hai Nguyen |
Publisher | : World Scientific |
Total Pages | : 318 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 9789810206901 |
Download The Double Mellin-Barnes Type Integrals and Their Applications to Convolution Theory Book in PDF, ePub and Kindle
This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.
Author | : R. Wong |
Publisher | : Academic Press |
Total Pages | : 561 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483220710 |
Download Asymptotic Approximations of Integrals Book in PDF, ePub and Kindle
Asymptotic 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 | : Semyon B Yakubovich |
Publisher | : World Scientific |
Total Pages | : 308 |
Release | : 1992-05-26 |
Genre | : Mathematics |
ISBN | : 9814506141 |
Download The Double Mellin-barnes Type Integrals And Their Application To Convolution Theory Book in PDF, ePub and Kindle
This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.
Author | : R. B. Paris |
Publisher | : Longman |
Total Pages | : 364 |
Release | : 1986 |
Genre | : Asymptotic expansions |
ISBN | : |
Download Asymptotics of High Order Differential Equations Book in PDF, ePub and Kindle