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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.8612.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), 19/4}, z] == (11 (4 z^(1/4) (241052750180116875 + 321403666906822500 Sqrt[z] + 161498702049048000 z + 19428415284096000 z^(3/2) - 6550576800768000 z^2 + 5657316327936000 z^(5/2) - 1447540048281600 z^3 + 4497106788679680 z^(7/2) - 226929103994880 z^4 + 823698629591040 z^(9/2) - 19734850437120 z^5 + 74516004864000 z^(11/2) - 1141521776640 z^6 + 4357512757248 z^(13/2) - 54760833024 z^7 + 206158430208 z^(15/2) - 4294967296 z^8 + 17179869184 z^(17/2) + E^(4 Sqrt[z]) (-241052750180116875 + 321403666906822500 Sqrt[z] - 161498702049048000 z + 19428415284096000 z^(3/2) + 6550576800768000 z^2 + 5657316327936000 z^(5/2) + 1447540048281600 z^3 + 4497106788679680 z^(7/2) + 226929103994880 z^4 + 823698629591040 z^(9/2) + 19734850437120 z^5 + 74516004864000 z^(11/2) + 1141521776640 z^6 + 4357512757248 z^(13/2) + 54760833024 z^7 + 206158430208 z^(15/2) + 4294967296 z^8 + 17179869184 z^(17/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-241052750180116875 + 95624231476410000 z - 30147540958080000 z^2 + 15006775943577600 z^3 + 17150601078374400 z^4 + 3228348438282240 z^5 + 294322364743680 z^6 + 17249662402560 z^7 + 811748818944 z^8 + 68719476736 z^9) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-241052750180116875 + 95624231476410000 z - 30147540958080000 z^2 + 15006775943577600 z^3 + 17150601078374400 z^4 + 3228348438282240 z^5 + 294322364743680 z^6 + 17249662402560 z^7 + 811748818944 z^8 + 68719476736 z^9) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/ (1196972338462064640 z^(15/4))










Standard Form





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MathML Form







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





2007-05-02