# Download e-book for kindle: Asymptotics and Special Functions (Computer science and by F. W. J. Olver,Werner Rheinbolt

By F. W. J. Olver,Werner Rheinbolt

Asymptotics and exact services offers a complete advent to 2 very important subject matters in classical research: asymptotics and certain features. The integrals of a true variable and contour integrals are mentioned, besides the Liouville-Green approximation and connection formulation for suggestions of differential equations. Differential equations with commonplace singularities also are thought of, with emphasis on hypergeometric and Legendre capabilities.

Comprised of 14 chapters, this quantity starts off with an advent to the fundamental thoughts and definitions of asymptotic research and unique features, through a dialogue on asymptotic theories of yes integrals containing a parameter. Contour integrals in addition to integrals of a true variable are defined. next chapters take care of the analytic thought of standard differential equations; differential equations with typical and abnormal singularities; sums and sequences; and connection formulation for ideas of differential equations. The booklet concludes with an evaluate of tools utilized in estimating (as against bounding) blunders in asymptotic approximations and expansions.

This monograph is meant for graduate mathematicians, physicists, and engineers.

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