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{ "item_title" : "Special Functions", "item_author" : [" Sergei Yu Slavyanov", "Wolfgang Lay "], "item_description" : "The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/0/19/850/573/0198505736_b.jpg", "price_data" : { "retail_price" : "370.00", "online_price" : "370.00", "our_price" : "370.00", "club_price" : "370.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Special Functions|Sergei Yu Slavyanov

Special Functions : A Unified Theory Based on Singularities

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Overview

The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.

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Details

  • ISBN-13: 9780198505730
  • ISBN-10: 0198505736
  • Publisher: Oxford University Press
  • Publish Date: November 2000
  • Dimensions: 9.21 x 6.14 x 0.75 inches
  • Shipping Weight: 1.35 pounds
  • Page Count: 312

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