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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.8210.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), 1/4}, z] == (1/1222041600) ((4 (152755200 + 305510400 Sqrt[z] + 2312660025 z - 13109579700 z^(3/2) - 1881675840 z^2 + 8171297280 z^(5/2) + 239971840 z^3 - 983050240 z^(7/2) - 7946240 z^4 + 31981568 z^(9/2) + 65536 z^5 - 262144 z^(11/2) + E^(4 Sqrt[z]) (152755200 - 305510400 Sqrt[z] + 2312660025 z + 13109579700 z^(3/2) - 1881675840 z^2 - 8171297280 z^(5/2) + 239971840 z^3 + 983050240 z^(7/2) - 7946240 z^4 - 31981568 z^(9/2) + 65536 z^5 + 262144 z^(11/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (5019589575 - 57366738000 z + 33377011200 z^2 - 3955793920 z^3 + 128122880 z^4 - 1048576 z^5) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (5019589575 - 57366738000 z + 33377011200 z^2 - 3955793920 z^3 + 128122880 z^4 - 1048576 z^5) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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





2007-05-02