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20140310153027.0 |
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100301s2010 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781441909169 |
|
978-1-4419-0916-9 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QC5.53 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
530.15 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York : |
| -- |
Imprint: Springer, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-PHA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Mathai, A.M. |
| Relator term |
author. |
| 245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
The H-Function |
| Medium |
[electronic resource] : |
| Remainder of title |
Theory and Applications / |
| Statement of responsibility, etc |
by A.M. Mathai, Ram Kishore Saxena, Hans J. Haubold. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIV, 270p. |
| Other physical details |
online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
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 -- Glossary -- Author Index -- Subject Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Physics. |
|
|---|
| Topical term or geographic name as entry element |
Functions, special. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical physics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical statistics. |
|
|---|
| Topical term or geographic name as entry element |
Engineering mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Physics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
|
|---|
| Topical term or geographic name as entry element |
Special Functions. |
|
|---|
| Topical term or geographic name as entry element |
Statistical Theory and Methods. |
|
|---|
| Topical term or geographic name as entry element |
Appl.Mathematics/Computational Methods of Engineering. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Saxena, Ram Kishore. |
| Relator term |
author. |
|
|---|
| Personal name |
Haubold, Hans J. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781441909152 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-0916-9 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
