Special Functions and Orthogonal Polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials, April 21-22, 2007, Tucson, Arizona

封面
Diego 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

Fractional integration and fractional differentiation for ddimensional Jacobi expansions
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
Integral representations for products of Airy functions and their fractional derivatives
203
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