000			03399nam a22005055i 4500
001			978-1-4419-0916-9
003			DE-He213
005			20140220084503.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9781441909169 _9978-1-4419-0916-9
024	7		_a10.1007/978-1-4419-0916-9 _2doi
050		4	_aQC5.53
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.15 _223
100	1		_aMathai, A.M. _eauthor.
245	1	4	_aThe H-Function _h[electronic resource] : _bTheory and Applications / _cby A.M. Mathai, Ram Kishore Saxena, Hans J. Haubold.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2010.
300			_aXIV, 270p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aOn 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			_aThe 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	_aPhysics.
650		0	_aFunctions, special.
650		0	_aMathematical physics.
650		0	_aMathematical statistics.
650		0	_aEngineering mathematics.
650	1	4	_aPhysics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aSpecial Functions.
650	2	4	_aStatistical Theory and Methods.
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering.
700	1		_aSaxena, Ram Kishore. _eauthor.
700	1		_aHaubold, Hans J. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441909152
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-0916-9
912			_aZDB-2-PHA
999			_c110273 _d110273