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  • Cited by 115
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2012
      August 2010
      ISBN:
      9780511762543
      9780521197977
      DOI:
      https://doi.org/10.1017/CBO9780511762543
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.78kg, 466 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Real and Complex Analysis
      Series:
      Cambridge Studies in Advanced Mathematics (126)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Real and Complex Analysis
    Series:
    Cambridge Studies in Advanced Mathematics (126)
    Information

    Book description

    The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference.

    Reviews

    'One of the most remarkable facts of this book is its goal to be useful for self-study … highly recommended textbook.'

    Source: Mathematical Reviews

    'Although there have been many monographs on special functions since Whittaker and Watson ['s A Course of Modern Analysis, 4th edition] we can anticipate that Beals and Wong will become a classic textbook for graduate students in math, applied math, and physics. Don’t delay in becoming familiar with it!'

    Source: SIAM Review

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