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Chapter 17
-Hypergeometric and Related Functions
Notes:
The main reference used in writing this chapter is
Gasper and Rahman (
2004
)
. For additional bibliographic reading see
Andrews (
1974
,
1976
,
1986
)
,
Andrews
et al.
(
1999
)
,
Bailey (
1935
)
,
Fine (
1988
)
,
Kac and Cheung (
2002
)
, and
Slater (
1966
)
.
Referenced by:
George E. Andrews
,
Organization and Objective
Permalink:
http://dlmf.nist.gov/17
G. E. Andrews
Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania.
Notation
17.1
Special Notation
Properties
17.2
Calculus
17.3
-Elementary and
-Special Functions
17.4
Basic Hypergeometric Functions
17.5
Functions
17.6
Function
17.7
Special Cases of Higher
Functions
17.8
Special Cases of
Functions
17.9
Transformations of Higher
Functions
17.10
Transformations of
Functions
17.11
Transformations of
-Appell Functions
17.12
Bailey Pairs
17.13
Integrals
17.14
Constant Term Identities
17.15
Generalizations
Applications
17.16
Mathematical Applications
17.17
Physical Applications
Computation
17.18
Methods of Computation
17.19
Software