The Resource Hypergeometric functions and their applications, James B. Seaborn

Hypergeometric functions and their applications, James B. Seaborn

Label
Hypergeometric functions and their applications
Title
Hypergeometric functions and their applications
Statement of responsibility
James B. Seaborn
Creator
Subject
Language
eng
Summary
Many of the special functions of applied mathematics can be expressed in terms of hypergeometric functions. In this book each special function is seen to arise in one or more physical contexts as a solution of a differential equation that can be transformed into a hypergeometric equation. The special function is then defined in terms of a generalized hypergeometric function and the equivalence to alternate definitions is established. Many of the interesting and important properties of the special functions that one encounters in standard upper level textbooks on engineering, they physical sciences, and other branches of applied mathematics are derived. The close connection of the development with applications is emphasized throughout the book in the text and in the exercises
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Seaborn, James B
Illustrations
illustrations
Index
index present
LC call number
QA353.H9
LC item number
S43 1991
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Hypergeometric functions
  • Mathematical physics
  • Fonctions hypergéométriques
  • Physique mathématique
  • Hypergeometric functions
  • Mathematical physics
  • Funcoes (matematica)
  • Fonctions hypergéométriques
  • Hypergeometrische Reihe
  • Spezielle Funktion
Label
Hypergeometric functions and their applications, James B. Seaborn
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 245-246) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Special functions in applied mathematics -- Differential equations and special functions -- The confluent hypergeometric function -- Problems in two dimensions -- The central force problem in quantum mechanics -- The radial equation for central force fields -- Complex analysis -- Applications of contour integrals -- Alternate forms for special functions -- Integral representations of special functions -- Generating functions and recursion formulas -- Orthogonal functions
Dimensions
25 cm.
Extent
xiv, 250 pages
Isbn
9783540975588
Lccn
91018910
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)23870552
  • (OCoLC)ocm23870552
Label
Hypergeometric functions and their applications, James B. Seaborn
Publication
Bibliography note
Includes bibliographical references (p. 245-246) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Special functions in applied mathematics -- Differential equations and special functions -- The confluent hypergeometric function -- Problems in two dimensions -- The central force problem in quantum mechanics -- The radial equation for central force fields -- Complex analysis -- Applications of contour integrals -- Alternate forms for special functions -- Integral representations of special functions -- Generating functions and recursion formulas -- Orthogonal functions
Dimensions
25 cm.
Extent
xiv, 250 pages
Isbn
9783540975588
Lccn
91018910
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)23870552
  • (OCoLC)ocm23870552

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