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The Resource A comprehensive treatment of q-calculus, Thomas Ernst

A comprehensive treatment of q-calculus, Thomas Ernst

Label
A comprehensive treatment of q-calculus
Title
A comprehensive treatment of q-calculus
Statement of responsibility
Thomas Ernst
Creator
Subject
Language
eng
Summary
To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus 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 q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms. For instance, q-hypergeometric 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 q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Beyond a thorough review of the historical development of q-calculus, it also presents the domains of modern physics for which q-calculus 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 q-calculus, Thomas Ernst
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 447-465) 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 q-calculus -- Pre q-calculus -- The q-umbral calculus and semigroups - the Nørlund calculus of finite differences -- q-Stirling numbers -- The first q-functions -- q-hypergeometric series -- Sundry topics -- q-orthogonal polynomials -- q-functions of several variables -- Linear partial q-difference equations -- q-Calculus 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 q-calculus, Thomas Ernst
Publication
Bibliography note
Includes bibliographical references (pages 447-465) 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 q-calculus -- Pre q-calculus -- The q-umbral calculus and semigroups - the Nørlund calculus of finite differences -- q-Stirling numbers -- The first q-functions -- q-hypergeometric series -- Sundry topics -- q-orthogonal polynomials -- q-functions of several variables -- Linear partial q-difference equations -- q-Calculus 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

Library Locations

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      38.944377 -92.326537
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