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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=5/4, b1`>=-11/2 > For fixed z and a1=5/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.acgc.01









  


  










Input Form





HypergeometricPFQ[{5/4}, {-(7/2), 13/4}, z] == (1/(917504 z^(9/4))) ((3 (4 z^(1/4) (7571025 + 10094700 Sqrt[z] + 7022400 z + 3210240 z^(3/2) + 965632 z^2 + 180224 z^(5/2) + 16384 z^3 + E^(4 Sqrt[z]) (7571025 - 10094700 Sqrt[z] + 7022400 z - 3210240 z^(3/2) + 965632 z^2 - 180224 z^(5/2) + 16384 z^3)) + 65835 E^(2 Sqrt[z]) Sqrt[2 Pi] (-115 + 16 z) Erf[Sqrt[2] z^(1/4)] + 65835 E^(2 Sqrt[z]) Sqrt[2 Pi] (-115 + 16 z) Erfi[Sqrt[2] z^(1/4)]))/ E^(2 Sqrt[z]))










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