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9780821846506

Special Functions and Orthogonal Polynomials

by ;
  • ISBN13:

    9780821846506

  • ISBN10:

    0821846507

  • Format: Paperback
  • Copyright: 2008-11-15
  • Publisher: Amer Mathematical Society

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Summary

"This volume contains fourteen articles that represent the AMS Special Session on Special Functions and Orthogonal Polynomials, held in Tucson, Arizona in April of 2007. It gives an overview of the modern field of special functions with all major subfields represented, including: applications to algebraic geometry, asymptotic analysis, conformal mapping, differential equations, elliptic functions, fractional calculus, hypergeometric and q-hypergeometric series, nonlinear waves, number theory, symbolic and numerical evaluation of integrals, and theta functions. A few articles are expository, with extensive bibliographies, but all contain original research." "This book is intended for pure and applied mathematicians who are interested in recent developments in the theory of special functions. It covers a wide range of active areas of research and demonstrates the vitality of the field."--BOOK JACKET.

Table of Contents

Fractional integration and fractional differentiation for $d$-dimensional Jacobi expansions
Sutherland-type trigonometric models, trigonometric invariants, and multivariate polynomials
Vieyra 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 Painleve 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 $_3F_2$ 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
Table of Contents provided by Publisher. All Rights Reserved.

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