Téléchargez le livre : Introduction to Asymptotics and Special Functions

Introduction to Asymptotics and Special Functions



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Éditeur :

Academic Press


Paru le : 2014-05-10



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Description
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. 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.
Pages
312 pages
Collection
n.c
Parution
2014-05-10
Marque
Academic Press
EAN papier
9780125258562
EAN PDF SANS DRM
9781483267081
Informations sur l'ebook
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Prix
57,97 €

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