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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.a7tc.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {7/2, -(1/4)}, z] == (1/(523309248 z^(5/2))) ((-20675655 + 20675655 E^(4 Sqrt[z]) - 41351310 Sqrt[z] - 41351310 E^(4 Sqrt[z]) Sqrt[z] - 7518420 z + 7518420 E^(4 Sqrt[z]) z + 40098240 z^(3/2) + 40098240 E^(4 Sqrt[z]) z^(3/2) - 57283200 z^2 + 57283200 E^(4 Sqrt[z]) z^2 + 78921216 z^(5/2) + 78921216 E^(4 Sqrt[z]) z^(5/2) - 147667968 z^3 + 147667968 E^(4 Sqrt[z]) z^3 + 715751424 z^(7/2) + 715751424 E^(4 Sqrt[z]) z^(7/2) + 50177664 z^4 - 50177664 E^(4 Sqrt[z]) z^4 - 208740864 z^(9/2) - 208740864 E^(4 Sqrt[z]) z^(9/2) - 2789376 z^5 + 2789376 E^(4 Sqrt[z]) z^5 + 11255808 z^(11/2) + 11255808 E^(4 Sqrt[z]) z^(11/2) + 32768 z^6 - 32768 E^(4 Sqrt[z]) z^6 - 131072 z^(13/2) - 131072 E^(4 Sqrt[z]) z^(13/2) - 32 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (-23468211 + 6587568 z - 352512 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] + 32 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (-23468211 + 6587568 z - 352512 z^2 + 4096 z^3) 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