The Resource A comprehensive treatment of qcalculus, Thomas Ernst
A comprehensive treatment of qcalculus, Thomas Ernst
Resource Information
The item A comprehensive treatment of qcalculus, Thomas Ernst represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item A comprehensive treatment of qcalculus, Thomas Ernst represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 To date, the theoretical development of qcalculus has rested on a nonuniform basis. Generally, the bulky GasperRahman notation was used, but the published works on qcalculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to qcalculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for qcalculus based on logarithms. For instance, qhypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between qhypergeometric functions and the qgamma function, something that until now has been overlooked. The book covers many topics on qcalculus, including special functions, combinatorics, and qdifference equations. Beyond a thorough review of the historical development of qcalculus, it also presents the domains of modern physics for which qcalculus is applicable, such as particle physics and supersymmetry, to name just a few  P. [4] of cover
 Language
 eng
 Extent
 xvi, 491 pages
 Contents

 Introduction
 The different languages of qcalculus
 Pre qcalculus
 The qumbral calculus and semigroups  the Nørlund calculus of finite differences
 qStirling numbers
 The first qfunctions
 qhypergeometric series
 Sundry topics
 qorthogonal polynomials
 qfunctions of several variables
 Linear partial qdifference equations
 qCalculus and physics
 Isbn
 9783034804301
 Label
 A comprehensive treatment of qcalculus
 Title
 A comprehensive treatment of qcalculus
 Statement of responsibility
 Thomas Ernst
 Language
 eng
 Summary
 To date, the theoretical development of qcalculus has rested on a nonuniform basis. Generally, the bulky GasperRahman notation was used, but the published works on qcalculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to qcalculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for qcalculus based on logarithms. For instance, qhypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between qhypergeometric functions and the qgamma function, something that until now has been overlooked. The book covers many topics on qcalculus, including special functions, combinatorics, and qdifference equations. Beyond a thorough review of the historical development of qcalculus, it also presents the domains of modern physics for which qcalculus is applicable, such as particle physics and supersymmetry, to name just a few  P. [4] of cover
 Cataloging source
 BTCTA
 http://library.link/vocab/creatorDate
 1960
 http://library.link/vocab/creatorName
 Ernst, Thomas
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA303.2
 LC item number
 .E76 2012
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/subjectName

 Calculus
 Functions, Special
 Hypergeometric functions
 Label
 A comprehensive treatment of qcalculus, Thomas Ernst
 Bibliography note
 Includes bibliographical references (pages 447465) and indexes
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  The different languages of qcalculus  Pre qcalculus  The qumbral calculus and semigroups  the Nørlund calculus of finite differences  qStirling numbers  The first qfunctions  qhypergeometric series  Sundry topics  qorthogonal polynomials  qfunctions of several variables  Linear partial qdifference equations  qCalculus and physics
 Control code
 785072979
 Dimensions
 24 cm
 Extent
 xvi, 491 pages
 Isbn
 9783034804301
 Lccn
 2012947523
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)785072979
 Label
 A comprehensive treatment of qcalculus, Thomas Ernst
 Bibliography note
 Includes bibliographical references (pages 447465) and indexes
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  The different languages of qcalculus  Pre qcalculus  The qumbral calculus and semigroups  the Nørlund calculus of finite differences  qStirling numbers  The first qfunctions  qhypergeometric series  Sundry topics  qorthogonal polynomials  qfunctions of several variables  Linear partial qdifference equations  qCalculus and physics
 Control code
 785072979
 Dimensions
 24 cm
 Extent
 xvi, 491 pages
 Isbn
 9783034804301
 Lccn
 2012947523
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)785072979
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/AcomprehensivetreatmentofqcalculusThomas/_T23Ihn8ZKQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/AcomprehensivetreatmentofqcalculusThomas/_T23Ihn8ZKQ/">A comprehensive treatment of qcalculus, Thomas Ernst</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>