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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-11/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(11/2), 21/4}, z] == (221 (4 z^(1/4) (-337347422787375 - 449796563716500 Sqrt[z] - 317252960917200 z - 148842232862400 z^(3/2) - 49208512953600 z^2 - 11601607449600 z^(5/2) - 1926623784960 z^3 - 211679723520 z^(7/2) - 15703474176 z^4 - 536870912 z^(9/2) + E^(4 Sqrt[z]) (-337347422787375 + 449796563716500 Sqrt[z] - 317252960917200 z + 148842232862400 z^(3/2) - 49208512953600 z^2 + 11601607449600 z^(5/2) - 1926623784960 z^3 + 211679723520 z^(7/2) - 15703474176 z^4 + 536870912 z^(9/2))) + 504735 E^(2 Sqrt[z]) Sqrt[2 Pi] (668365425 - 84369600 z + 6428160 z^2 - 442368 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] + 504735 E^(2 Sqrt[z]) Sqrt[2 Pi] (668365425 - 84369600 z + 6428160 z^2 - 442368 z^3 + 65536 z^4) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/(15874199126016 z^(17/4))










Standard Form





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MathML Form







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</apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02