Special Functions and Orthogonal Polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials, April 21-22, 2007, Tucson, ArizonaDiego Dominici, Robert Sullivan Maier American Mathematical Soc., 2008 - 218 頁 "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. |
內容
1 | |
Sutherlandtype trigonometric models trigonometric invariants and multivariate polynomials | 15 |
Asymptotics and zeros | 33 |
A generating function for the Nsoliton solutions of the KadomtsevPetviashvili II equation | 47 |
Asymptotics of the second Painlevé equation | 69 |
Evaluation of certain Mellin transformations in terms of the trigamma and polygamma functions | 85 |
Conformal maps to generalized quadrature domains | 105 |
Approximations for zeros of Hermite functions | 117 |
Inequalities and bounds for elliptic integrals II | 127 |
Psymbols Heun identities and 3F2 identities | 139 |
An iterative method for numerical integration of rational functions | 161 |
A Taylor expansion theorem for an elliptic extension of the AskeyWilson operator | 175 |
Ramanujans symmetric theta functions in his Lost Notebook | 187 |
203 | |
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