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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=15/4, b1`>=-11/2 > For fixed z and a1=15/4, b1`=-7/2





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









  


  










Input Form





HypergeometricPFQ[{15/4}, {-(7/2), 19/4}, z] == (1/(14680064 z^(15/4))) ((4 z^(1/4) (-34976316375 - 46635088500 Sqrt[z] - 37308070800 z - 21318897600 z^(3/2) - 9475065600 z^2 - 3445478400 z^(5/2) - 1060147200 z^3 - 280870912 z^(7/2) - 62849024 z^4 - 10747904 z^(9/2) - 1048576 z^5 + E^(4 Sqrt[z]) (34976316375 - 46635088500 Sqrt[z] + 37308070800 z - 21318897600 z^(3/2) + 9475065600 z^2 - 3445478400 z^(5/2) + 1060147200 z^3 - 280870912 z^(7/2) + 62849024 z^4 - 10747904 z^(9/2) + 1048576 z^5)) + 34976316375 E^(2 Sqrt[z]) Sqrt[2 Pi] Erf[Sqrt[2] z^(1/4)] - 34976316375 E^(2 Sqrt[z]) Sqrt[2 Pi] 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