Special Functions and Orthogonal Polynomials.

Intro -- Contents -- Preface -- Fractional integration and fractional differentiation for d-dimensional Jacobi expansions -- Sutherland-type trigonometric models, trigonometric invariants, and multivariate polynomials -- Polynomials associated with partitions: Asymptotics and zeros -- A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation -- Asymptotics of the second Painlevé equation -- Evaluation of certain Mellin transformations in terms of the trigamma and polygamma functions -- Conformal maps to generalized quadrature domains -- Approximations for zeros of Hermite functions -- Inequalities and bounds for elliptic integrals II -- P-symbols, Heun identities, and 3F2 identities -- An iterative method for numerical integration of rational functions -- A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator -- Ramanujan's symmetric theta functions in his Lost Notebook -- Integral representations for products of Airy functions and their fractional derivatives.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.