The H-Function : Theory and Applications. 1st ed. 2010
- 種類:
- 電子ブック
- 責任表示:
- by A.M. Mathai, Ram Kishore Saxena, Hans J. Haubold
- 出版情報:
- New York, NY : Springer New York : Imprint: Springer, 2010
- 著者名:
- ISBN:
- 9781441909169 [1441909168]
- 注記:
- On the H-Function With Applications -- H-Function in Science and Engineering -- Fractional Calculus -- Applications in Statistics -- Functions of Matrix Argument -- Applications in Astrophysics Problems.
The topics of special H-function and fractional calculus are currently undergoing rapid changes both in theory and application. Taking into account the latest research results, the authors delve into these topics as they relate to applications to problems in statistics, physics, and engineering, particularly in condensed matter physics, plasma physics, and astrophysics. The book sets forth the definitions, contours, existence conditions, and particular cases for the H-function, then explores the properties and relationships among the Laplace, Fourier, Hankel, and other transforms. From here, the H-functions are utilized for applications in statistical distribution theory, structures of random variables, generalized distributions, Mathai’s pathway models, and versatile integrals. Functions of matrix argument are introduced with a focus on real-valued scalar functions when the matrices are real or Hermitian positive-definite. The text concludes with important recent applications to physical problems in reaction - ローカル注記:
- 学内専用E-BOOKS (local access only)
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