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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a7tg.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {7/2, 3/4}, z] == (1/(4186473984 z^(5/2))) ((4 (-3759210 - 7518420 Sqrt[z] + 2148120 z + 14320800 z^(3/2) - 57283200 z^2 + 386975232 z^(5/2) + 83121039 z^3 - 366339564 z^(7/2) - 12749616 z^4 + 52354752 z^(9/2) + 466176 z^5 - 1876992 z^(11/2) - 4096 z^6 + 16384 z^(13/2) + E^(4 Sqrt[z]) (3759210 - 7518420 Sqrt[z] - 2148120 z + 14320800 z^(3/2) + 57283200 z^2 + 386975232 z^(5/2) - 83121039 z^3 - 366339564 z^(7/2) + 12749616 z^4 + 52354752 z^(9/2) - 466176 z^5 - 1876992 z^(11/2) + 4096 z^6 + 16384 z^(13/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (1760115825 - 1501965504 z + 210802176 z^2 - 7520256 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (-1760115825 + 1501965504 z - 210802176 z^2 + 7520256 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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Date Added to functions.wolfram.com (modification date)





2007-05-02