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Special Functions and Orthogonal Polynomials

Edited by: Diego Dominici State University of New York at New Paltz, New Paltz, NY
Robert S. Maier University of Arizona, Tucson, AZ
Available Formats:
Electronic ISBN: 978-0-8218-8150-7
Product Code: CONM/471.E
List Price: $75.00 MAA Member Price:$67.50
AMS Member Price: $60.00 Click above image for expanded view Special Functions and Orthogonal Polynomials Edited by: Diego Dominici State University of New York at New Paltz, New Paltz, NY Robert S. Maier University of Arizona, Tucson, AZ Available Formats:  Electronic ISBN: 978-0-8218-8150-7 Product Code: CONM/471.E  List Price:$75.00 MAA Member Price: $67.50 AMS Member Price:$60.00
• Book Details

Contemporary Mathematics
Volume: 4712008; 218 pp
MSC: Primary 33;

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.

Graduate students and research mathematicians interested in orthogonal polynomials and special functions.

• Articles
• Cristina Balderrama and Wilfredo O. Urbina R. - Fractional integration and fractional differentiation for $d$-dimensional Jacobi expansions [ MR 2367408 ]
• K. G. Boreskov, A. V. Turbiner and J. C. López Vieyra - Sutherland-type trigonometric models, trigonometric invariants, and multivariate polynomials [ MR 2367409 ]
• Robert P. Boyer and William M. Y. Goh - Polynomials associated with partitions: asymptotics and zeros [ MR 2367410 ]
• Sarbarish Chakravarty and Yuji Kodama - A generating function for the $N$-soliton solutions of the Kadomtsev-Petviashvili II equation [ MR 2367411 ]
• Peter A. Clarkson - Asymptotics of the second Painlevé equation [ MR 2367412 ]
• Mark W. Coffey - Evaluation of certain Mellin transformations in terms of the trigamma and polygamma functions [ MR 2367413 ]
• Darren Crowdy and Jonathan Marshall - Conformal maps to generalized quadrature domains [ MR 2367414 ]
• Árpád Elbert and Martin E. Muldoon - Approximations for zeros of Hermite functions [ MR 2367415 ]
• Haseeb Kazi and Edward Neuman - Inequalities and bounds for elliptic integrals. II [ MR 2367416 ]
• Robert S. Maier - $P$-symbols, Heun identities, and ${}_3F_2$ identities [ MR 2367417 ]
• Dante Manna and Victor H. Moll - An iterative method for numerical integration of rational functions [ MR 2367419 ]
• Michael J. Schlosser - A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator [ MR 2367418 ]
• Seung H. Son - Ramanujan’s symmetric theta functions in his lost notebook [ MR 2367420 ]
• Vladimir Varlamov - Integral representations for products of Airy functions and their fractional derivatives [ MR 2367421 ]

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 4712008; 218 pp
MSC: Primary 33;

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.

Graduate students and research mathematicians interested in orthogonal polynomials and special functions.

• Articles
• Cristina Balderrama and Wilfredo O. Urbina R. - Fractional integration and fractional differentiation for $d$-dimensional Jacobi expansions [ MR 2367408 ]
• K. G. Boreskov, A. V. Turbiner and J. C. López Vieyra - Sutherland-type trigonometric models, trigonometric invariants, and multivariate polynomials [ MR 2367409 ]
• Robert P. Boyer and William M. Y. Goh - Polynomials associated with partitions: asymptotics and zeros [ MR 2367410 ]
• Sarbarish Chakravarty and Yuji Kodama - A generating function for the $N$-soliton solutions of the Kadomtsev-Petviashvili II equation [ MR 2367411 ]
• Peter A. Clarkson - Asymptotics of the second Painlevé equation [ MR 2367412 ]
• Mark W. Coffey - Evaluation of certain Mellin transformations in terms of the trigamma and polygamma functions [ MR 2367413 ]
• Darren Crowdy and Jonathan Marshall - Conformal maps to generalized quadrature domains [ MR 2367414 ]
• Árpád Elbert and Martin E. Muldoon - Approximations for zeros of Hermite functions [ MR 2367415 ]
• Haseeb Kazi and Edward Neuman - Inequalities and bounds for elliptic integrals. II [ MR 2367416 ]
• Robert S. Maier - $P$-symbols, Heun identities, and ${}_3F_2$ identities [ MR 2367417 ]
• Dante Manna and Victor H. Moll - An iterative method for numerical integration of rational functions [ MR 2367419 ]
• Michael J. Schlosser - A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator [ MR 2367418 ]
• Seung H. Son - Ramanujan’s symmetric theta functions in his lost notebook [ MR 2367420 ]
• Vladimir Varlamov - Integral representations for products of Airy functions and their fractional derivatives [ MR 2367421 ]
Review Copy – for reviewers who would like to review an AMS book
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