TitleThe H-Function : Theory and Applications
Author(s)Mathai, A.M;Saxena, Ram Kishore;Haubold, Hans J
PublicationNew York, NY, Springer New York, 2010.
DescriptionXIV, 268 p : online resource
Abstract NoteThe 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.
ISBN,Price9781441909169
Keyword(s)1. APPLIED MATHEMATICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. FUNCTIONAL ANALYSIS 6. Mathematical and Computational Engineering 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. SPECIAL FUNCTIONS 11. Statistical Theory and Methods 12. Statistics?? 13. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I05634     On Shelf