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BUILT-IN MATHEMATICA SYMBOL
HypergeometricPFQ
HypergeometricPFQ[{a1, ..., ap}, {b1, ..., bq}, z]
is the generalized hypergeometric function 
.
Details
- Mathematical function, suitable for both symbolic and numerical manipulation.
has series expansion 
, where 
is the Pochhammer symbol.- Hypergeometric0F1, Hypergeometric1F1, and Hypergeometric2F1 are special cases of HypergeometricPFQ.
- In many special cases, HypergeometricPFQ is automatically converted to other functions.
- For certain special arguments, HypergeometricPFQ automatically evaluates to exact values.
- HypergeometricPFQ can be evaluated to arbitrary numerical precision.
- For
, HypergeometricPFQ[alist, blist, z] has a branch cut discontinuity in the complex 
plane running from 
to 
. - FullSimplify and FunctionExpand include transformation rules for HypergeometricPFQ.
New in 3 | Last modified in 4
