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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Series representations > Generalized power series > Expansions at generic point z==z0 > For the function itself





http://functions.wolfram.com/07.28.06.0027.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z] == Product[Gamma[Subscript[b, j]], {j, 1, 3}] Sum[(1/(Subscript[z, 0]^k k!)) HypergeometricPFQRegularized[ {1, Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {1 - k, Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, Subscript[z, 0]] (z - Subscript[z, 0])^k, {k, 0, Infinity}] /; !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