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QHypergeometricPFQ
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BUILT-IN MATHEMATICA SYMBOL
QPochhammer
HypergeometricPFQ
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q Functions
Special Functions
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
More About »
QHypergeometricPFQ
QHypergeometricPFQ
gives the basic hypergeometric series
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
has series expansion
.
The basic hypergeometric series is defined for
.
For
, the basic hypergeometric series is defined for
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
In[1]:=
Out[1]=
Scope
(4)
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
TraditionalForm
formatting:
Applications
(3)
Two natural
-extensions of the exponential function:
The
-binomial theorem:
-analog of Legendre polynomial:
Properties & Relations
(2)
QHypergeometricPFQ
is not closed under differentiation with respect to
:
It is closed under
-difference:
Series expansions:
SEE ALSO
QPochhammer
HypergeometricPFQ
MORE ABOUT
q Functions
Special Functions
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
New in 7
.
-extensions of the exponential function:
-binomial theorem:
-analog of Legendre polynomial:
:
-difference:
EXAMPLES
Basic Examples 
Scope 