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The H-Function : Theory and Applications / by A.M. Mathai, Ram Kishore Saxena, Hans J. Haubold
| データ種別 | 電子ブック |
|---|---|
| 著者標目 | *Mathai, A.M author Saxena, Ram Kishore author Haubold, Hans J author SpringerLink (Online service) |
| 出版者 | (New York, NY : Springer New York : Imprint: Springer) |
| 出版年 | 2010 |
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| 巻次 | ISBN:9781441909169 |
|---|---|
| 大きさ | XIV, 268 p : online resource |
| 一般注記 | 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, diffusion, reaction-diffusion theory and statistics, and superstatistics. Generalized entropies as well as applications in astrophysics are dealt with. Over the last few years, material in this book has been added to various courses and developed to meet the needs of scholars at the PhD level. All exercises in the book have been used to probe the knowledge and ability of mathematics, statistics, and physics to students and researchers. HTTP:URL=http://dx.doi.org/10.1007/978-1-4419-0916-9 |
| 件 名 | LCSH:Physics LCSH:Functional analysis LCSH:Special functions LCSH:Statistics LCSH:Applied mathematics LCSH:Engineering mathematics FREE:Physics FREE:Theoretical, Mathematical and Computational Physics FREE:Functional Analysis FREE:Mathematical Methods in Physics FREE:Special Functions FREE:Statistical Theory and Methods FREE:Appl.Mathematics/Computational Methods of Engineering |
| 分 類 | LCC:QC19.2-20.85 DC23:530.1 |
| 書誌ID | OB00006925 |
| ISBN | 9781441909169 |