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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`=1/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {1/2, 21/4}, z] == (1/(1073741824 z^(17/4))) ((3315 (-4 z^(1/4) (2027025 + 2702700 Sqrt[z] + 1496880 z + 348480 z^(3/2) + 768 z^2 + 9216 z^(5/2) + 4096 z^3 - 16384 z^(7/2) + E^(4 Sqrt[z]) (2027025 - 2702700 Sqrt[z] + 1496880 z - 348480 z^(3/2) + 768 z^2 - 9216 z^(5/2) + 4096 z^3 + 16384 z^(7/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (2027025 - 665280 z + 161280 z^2 - 49152 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (2027025 - 665280 z + 161280 z^2 - 49152 z^3 + 65536 z^4) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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</math>










Rule Form





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





2007-05-02