Asymptotics and Special Functions is popular PDF and ePub book, written by F. W. J. Olver in 2014-05-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Asymptotics and Special Functions can be Read Online from any device for your convenience.
Asymptotics and Special Functions Book PDF Summary
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.
Detail Book of Asymptotics and Special Functions PDF
- Author : F. W. J. Olver
- Release : 10 May 2014
- Publisher : Academic Press
- ISBN : 9781483267449
- Genre : Mathematics
- Total Page : 589 pages
- Language : English
- PDF File Size : 17,5 Mb
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