Author : F. W. J. Olver
Release : 2014-05-10
Genre : Mathematics
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Book Rating : 44X/5 ( reviews)

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Asymptotics and Special Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotics and Special Functions write by F. W. J. Olver. This book was released on 2014-05-10. Asymptotics and Special Functions available in PDF, EPUB and Kindle. 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.