Last edited by Akinoshakar
Friday, October 16, 2020 | History

7 edition of Asymptotics and special functions found in the catalog.

Asymptotics and special functions

by Frank W. J. Olver

  • 378 Want to read
  • 34 Currently reading

Published by A.K. Peters in Wellesley, Mass .
Written in English

    Subjects:
  • Functions, Special,
  • Asymptotic expansions,
  • Differential equations -- Numerical solutions

  • Edition Notes

    StatementFrank W.J. Olver.
    SeriesAKP classics
    Classifications
    LC ClassificationsQA351 .O48 1997
    The Physical Object
    Paginationxviii, 572 p. :
    Number of Pages572
    ID Numbers
    Open LibraryOL655343M
    ISBN 101568810695
    LC Control Number97000377

    Applied and Computational Complex Analysis, Volume 2: Special Functions, Integral Transforms, Asymptotics, Continued Fractions (Pure & Applied Mathematics) Henrici, Peter ISBN ISBN In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior.. As an illustration, suppose that we are interested in the properties of a function f(n) as n becomes very large. If f(n) = n 2 + 3n, then as n becomes very large, the term 3n becomes insignificant compared to n function f(n) is said to be "asymptotically equivalent to n.

    Asymptotics is the calculus of approximations. It is used to solve hard problems that cannot be solved exactly and to provide simpler forms of complicated results, from early results like Taylor's and Stirling's formulas to the prime number theorem. It is extensively used in areas such as number theory, combinatorics, numerical analysis, analysis of algorithms, probability and statistics. Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications.. The term is defined by consensus, and thus lacks a general formal definition, but the List of mathematical functions contains functions that are commonly accepted as special.

    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 standard references on : $ In this section we give examples of his interest in asymptotics of special functions.. [50] F.W.J. Olver, Asymptotics and Special Functions (Academic Press, New York, ).. but clearly some conditions on the function (z) are required.. [11] F. W. J. Olver, Asymptotics and Special Functions, Academic Press, New York, File Size: KB.


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Asymptotics and special functions by Frank W. J. Olver Download PDF EPUB FB2

Asymptotics 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.

The book under review is a very good reference on this material, giving a detailed collection of various asymptotic results, with a special focus on special functions. The book is a classic, and it seems to be essentially a research text, but it has the structure to be also used as a by: Download introduction to asymptotics and special functions or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get introduction to asymptotics and special functions book now. This site is like a library, Use search box in the widget to get ebook that you want. Asymptotics And Special Functions.

Asymptotics and special functions. [Frank W J Olver] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Book: All Authors / Contributors: Frank W J Olver.

Find more information about: ISBN:. Introduction 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 Book Edition: 1. Asymptotics and special functions by Olver, Frank W. J., Publication date Topics Asymptotic expansions, Differential equations -- Numerical solutions, Functions, Special Borrow this book to access EPUB and PDF files.

IN COLLECTIONS. Books to Borrow. Books for People with Print Disabilities. Trent University Library : Asymptotics and Special Functions (Computer science and applied mathematics) - Kindle edition by Olver, F. J., Rheinbolt, Werner. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Asymptotics and Special Functions (Computer science and applied mathematics).5/5(1). The book under review is a very good reference on this material, giving a detailed collection of various asymptotic results, with a special focus on special functions.

The book is a classic, and it seems to be essentially a research text, but it has the structure to be also used as a textbook. 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.

Asymptotics and Special Functions book. Asymptotics and Special Functions. DOI link for Asymptotics and Special Functions. Asymptotics and Special Functions book. By Frank Olver. Edition 1st Edition.

First Published eBook Published 24 January Pub. location New York. Imprint A K Peters/CRC by: Introduction 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. Asymptotics and special functions. New York, Academic Press, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Frank W J Olver.

Asymptotics and Special Functions book. Asymptotics and Special Functions. DOI link for Asymptotics and Special Functions. Asymptotics and Special Functions book. By Frank Olver. Edition 1st Edition.

First Published eBook Published 24 January Pub. location New York. Imprint A K Peters/CRC : Frank Olver. The book under review is a very good reference on this material, giving a detailed collection of various asymptotic results, with a special focus on special functions.

This book centers on integrals and the solution of differential equations. Chapter 1 gives fundamental tools in asymptotic analysis of real- and complex-valued functions. Asymptotics and special functions by Frank W. Olver,Academic Press edition, in EnglishCited by: The book under review is a very good reference on this material, giving a detailed collection of various asymptotic results, with a special focus on special functions.

The book is a classic, and it seems to be essentially a research text, but it has the structure to be also used as a : Frank Olver. Asymptotics 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 Edition: 1. Asymptotics and special functions Frank Olver A 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.

Asymptotics and Special Functions Frank W. Olver University of Maryland College Park, Maryland and National Institute of Standards and Technology Gaithersburg, Maryland CRC Press Taylor & Francis Croup Boca Raton London New York CRC Press is an imprint of.

DOI: / Corpus ID: Asymptotics and Special Functions @inproceedings{OlverAsymptoticsAS, title={Asymptotics and Special Functions}, author={Frank W. Olver}, year={} }. Asymptotics and Mellin-Barnes Integrals, first published inprovides 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.Buy Asymptotics and Special Functions by Frank W J Olver online at Alibris.

We have new and used copies available, in 2 editions - starting at $ Shop now.Asymptotics and Special Functions. by Frank W. J. Olver. Introduction These are notes and problems from Olver's book.

Download Problem Solutions (Part 1 of 2). Download Problem Solutions (Part 2 of 2).