Téléchargez le livre : Asymptotics and Special Functions

Asymptotics and Special Functions

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Éditeur :

Academic Press


Paru le : 2014-05-10

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Description
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. 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.
Pages
588 pages
Collection
n.c
Parution
2014-05-10
Marque
Academic Press
EAN papier
9780125258500
EAN PDF SANS DRM
9781483267449
Informations sur l'ebook
Prix
74,85 €

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