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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Series representations > Generalized power series > Expansions at generic point z==z0 > For the function itself





http://functions.wolfram.com/07.32.06.0045.01









  


  








Input Form





HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] == Sum[(1/(Subscript[z, 0]^k k!)) HypergeometricPFQRegularized[ {1, Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {1 - k, Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, Subscript[z, 0]] (z - Subscript[z, 0])^k, {k, 0, Infinity}] /; p != q + 1 || (p == q + 1 && !IntervalMemberQ[Interval[{1, Infinity}], Subscript[z, 0]])








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02