Asymptotics and Special Functions (Computer science and by F. W. J. Olver,Werner Rheinbolt PDF

By F. W. J. Olver,Werner Rheinbolt

Asymptotics and precise features offers a entire advent to 2 vital subject matters in classical research: asymptotics and specified capabilities. The integrals of a true variable and contour integrals are mentioned, in addition to the Liouville-Green approximation and connection formulation for ideas of differential equations. Differential equations with standard 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 elemental ideas and definitions of asymptotic research and distinctive services, through a dialogue on asymptotic theories of sure integrals containing a parameter. Contour integrals in addition to integrals of a true variable are defined. next chapters care for the analytic idea of normal differential equations; differential equations with average and abnormal singularities; sums and sequences; and connection formulation for recommendations of differential equations. The ebook concludes with an evaluate of equipment 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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