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.
Introduction to Asymptotics and Special Functions
Introduction to 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 Introduction to Asymptotics and Special Functions write by F. W. J. Olver. This book was released on 2014-05-10. Introduction to Asymptotics and Special Functions available in PDF, EPUB and Kindle. 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.
Asymptotics and Special Functions
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 Frank Olver. This book was released on 1997-01-24. Asymptotics and Special Functions available in PDF, EPUB and Kindle. 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
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 Frank W. J. Olver. This book was released on 1973. Asymptotics and Special Functions available in PDF, EPUB and Kindle.
Introduction to asymptotic and special functions
Introduction to asymptotic 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 Introduction to asymptotic and special functions write by F. W. Olver. This book was released on 1974. Introduction to asymptotic and special functions available in PDF, EPUB and Kindle.
