Special Functions and Orthogonal Polynomialsby Diego Dominici
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,… See more details below
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.
Table of Contents
Fractional integration and fractional differentiation for d-dimensional Jacobi expansions Cristina Balderrama Balderrama, Cristina Wilfredo O. Urbina R. Urbina R., Wilfredo O. 1 Sutherland-type trigonometric models, trigonometric invariants, and multivariate polynomials K. G. Boreskov Boreskov, K. G. A. V. Turbiner Turbiner, A. V. J. C. Lopez Vieyra Vieyra, J. C. Lopez 15 Polynomials associated with partitions: Asymptotics and zeros Robert P. Boyer Boyer, Robert P. William M. Y. Goh Goh, William M. Y. 33 A generating function for the N-soliton solutions of the Kadomtsev- Petviashvili II equation Sarbarish Chakravarty Chakravarty, Sarbarish Yuji Kodama Kodama, Yuji 47 Asymptotics of the second Painleve equation Peter A. Clarkson Clarkson, Peter A. 69 Evaluation of certain Mellin transformations in terms of the trigamma and polygamma functions Mark W. Coffey Coffey, Mark W. 85 Conformal maps to generalized quadrature domains Darren Crowdy Crowdy, Darren Jonathan Marshall Marshall, Jonathan 105 Approximations for zeros of Hermite functions Arpad Elbert Elbert, Arpad Martin E. Muldoon Muldoon, Martin E. 117 Inequalities and bounds for elliptic integrals II Haseeb Kazi Kazi, Haseeb Edward Neuman Neuman, Edward 127 P-symbols, Heun identities, and [subscript 3]F[subscript 2] identities Robert S. Maier Maier, Robert S. 139 An iterative method for numerical integration of rational functions Dante Manna Manna, Dante Victor H. Moll Moll, Victor H. 161 A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator Michael J. Schlosser Schlosser, Michael J. 175 Ramanujan's symmetric theta functions in his Lost Notebook Seung H. Son Son, Seung H. 187 Integral representations forproducts of Airy functions and their fractional derivatives Vladimir Varlamov Varlamov, Vladimir 203
and post it to your social network
Most Helpful Customer Reviews
See all customer reviews >