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 specific services offers a finished creation to 2 vital issues in classical research: asymptotics and designated capabilities. The integrals of a true variable and contour integrals are mentioned, besides the Liouville-Green approximation and connection formulation for strategies 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 with an advent to the elemental innovations and definitions of asymptotic research and unique capabilities, by way of a dialogue on asymptotic theories of certain integrals containing a parameter. Contour integrals in addition to integrals of a true variable are defined. next chapters take care of the analytic concept of standard differential equations; differential equations with standard and abnormal singularities; sums and sequences; and connection formulation for ideas of differential equations. The e-book concludes with an assessment 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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Asymptotics and Special Functions (Computer science and applied mathematics) by F. W. J. Olver,Werner Rheinbolt

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