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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/07.22.03.8198.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), -(11/4)}, z] == (1/4594590) ((2297295 + 2297295 E^(4 Sqrt[z]) + 4594590 Sqrt[z] - 4594590 E^(4 Sqrt[z]) Sqrt[z] - 5012280 z - 5012280 E^(4 Sqrt[z]) z + 4038720 z^(3/2) - 4038720 E^(4 Sqrt[z]) z^(3/2) - 3379200 z^2 - 3379200 E^(4 Sqrt[z]) z^2 + 3488256 z^(5/2) - 3488256 E^(4 Sqrt[z]) z^(5/2) - 5490688 z^3 - 5490688 E^(4 Sqrt[z]) z^3 + 24150016 z^(7/2) - 24150016 E^(4 Sqrt[z]) z^(7/2) + 785408 z^4 + 785408 E^(4 Sqrt[z]) z^4 - 3190784 z^(9/2) + 3190784 E^(4 Sqrt[z]) z^(9/2) - 16384 z^5 - 16384 E^(4 Sqrt[z]) z^5 + 65536 z^(11/2) - 65536 E^(4 Sqrt[z]) z^(11/2) + 256 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (96577 - 12512 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] + 256 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (96577 - 12512 z + 256 z^2) 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