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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.25.06.0014.01









  


  








Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, z] \[Proportional] HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, Subscript[z, 0]] + ((Subscript[a, 1] Subscript[a, 2])/(Subscript[b, 1] Subscript[b, 2])) HypergeometricPFQ[{1 + Subscript[a, 1], 1 + Subscript[a, 2]}, {1 + Subscript[b, 1], 1 + Subscript[b, 2]}, Subscript[z, 0]] (z - Subscript[z, 0]) + ((Subscript[a, 1] (1 + Subscript[a, 1]) Subscript[a, 2] (1 + Subscript[a, 2]))/(2 Subscript[b, 1] (1 + Subscript[b, 1]) Subscript[b, 2] (1 + Subscript[b, 2]))) HypergeometricPFQ[ {2 + Subscript[a, 1], 2 + Subscript[a, 2]}, {2 + Subscript[b, 1], 2 + Subscript[b, 2]}, Subscript[z, 0]] (z - Subscript[z, 0])^2 + O[(z - Subscript[z, 0])^3]








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