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{ "item_title" : "Orthogonal Polynomials and Painlevé Equations", "item_author" : [" Walter Van Assche "], "item_description" : "There are a number of intriguing connections between Painlevequations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlevequations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal polynomials will also find the description of Painlevtranscendants and their use for local analysis near certain critical points helpful to their work. Rational solutions and special function solutions of Painlevequations are worked out in detail, with a survey of recent results and an outline of their close relationship with orthogonal polynomials. Exercises throughout the book help the reader to get to grips with the material. The author is a leading authority on orthogonal polynomials, giving this work a unique perspective on Painlevequations.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/1/10/844/194/1108441947_b.jpg", "price_data" : { "retail_price" : "53.00", "online_price" : "53.00", "our_price" : "53.00", "club_price" : "53.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Orthogonal Polynomials and Painlevé Equations|Walter Van Assche

Orthogonal Polynomials and Painlevé Equations

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Overview

There are a number of intriguing connections between Painlev equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlev equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal polynomials will also find the description of Painlev transcendants and their use for local analysis near certain critical points helpful to their work. Rational solutions and special function solutions of Painlev equations are worked out in detail, with a survey of recent results and an outline of their close relationship with orthogonal polynomials. Exercises throughout the book help the reader to get to grips with the material. The author is a leading authority on orthogonal polynomials, giving this work a unique perspective on Painlev equations.

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Details

  • ISBN-13: 9781108441940
  • ISBN-10: 1108441947
  • Publisher: Cambridge University Press
  • Publish Date: December 2017
  • Dimensions: 9.23 x 6.47 x 0.46 inches
  • Shipping Weight: 0.59 pounds
  • Page Count: 190

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