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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`=-11/2





http://functions.wolfram.com/07.22.03.7966.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(11/2), -(3/4)}, z] == (1/383201280) ((4 (47900160 + 95800320 Sqrt[z] + 29030400 z - 69672960 z^(3/2) + 7278705 z^2 - 25045524 z^(5/2) + 962352 z^3 - 3583680 z^(7/2) + 74496 z^4 - 285696 z^(9/2) + 4096 z^5 - 16384 z^(11/2) + E^(4 Sqrt[z]) (47900160 - 95800320 Sqrt[z] + 29030400 z + 69672960 z^(3/2) + 7278705 z^2 + 25045524 z^(5/2) + 962352 z^3 + 3583680 z^(7/2) + 74496 z^4 + 285696 z^(9/2) + 4096 z^5 + 16384 z^(11/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] z^(7/4) (249843825 + 96909120 z + 14095872 z^2 + 1130496 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] z^(7/4) (249843825 + 96909120 z + 14095872 z^2 + 1130496 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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Rule Form





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





2007-05-02