The H-Function [recurso electrónico] : Theory and Applications / by A.M. Mathai, Ram Kishore Saxena, Hans J. Haubold.

Por: Mathai, A.M [author.]Colaborador(es): Saxena, Ram Kishore [author.] | Haubold, Hans J [author.] | SpringerLink (Online service)Tipo de material: TextoTextoEditor: New York, NY : Springer New York : Imprint: Springer, 2010Descripción: XIV, 268 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441909169Tema(s): Physics | Functions, special | Mathematical physics | Mathematical statistics | Engineering mathematics | Physics | Mathematical Methods in Physics | Special Functions | Statistical Theory and Methods | Appl.Mathematics/Computational Methods of EngineeringFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 530.15 Clasificación LoC:QC5.53Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer eBooksResumen: 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.
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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QC5.53 (Browse shelf(Abre debajo)) 1 No para préstamo 371203-2001

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.

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