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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`=5/2





http://functions.wolfram.com/07.22.03.8346.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {5/2, -(7/4)}, z] == (1/(50874642000 z^(3/2))) ((2657429775 - 2657429775 E^(4 Sqrt[z]) + 5314859550 Sqrt[z] + 5314859550 E^(4 Sqrt[z]) Sqrt[z] - 6541365600 z + 6541365600 E^(4 Sqrt[z]) z + 5268110400 z^(3/2) + 5268110400 E^(4 Sqrt[z]) z^(3/2) - 4000147200 z^2 + 4000147200 E^(4 Sqrt[z]) z^2 + 3338979840 z^(5/2) + 3338979840 E^(4 Sqrt[z]) z^(5/2) - 3493969920 z^3 + 3493969920 E^(4 Sqrt[z]) z^3 + 5587107840 z^(7/2) + 5587107840 E^(4 Sqrt[z]) z^(7/2) - 24869928960 z^4 + 24869928960 E^(4 Sqrt[z]) z^4 - 943518720 z^(9/2) - 943518720 E^(4 Sqrt[z]) z^(9/2) + 3868987392 z^5 - 3868987392 E^(4 Sqrt[z]) z^5 + 32538624 z^(11/2) + 32538624 E^(4 Sqrt[z]) z^(11/2) - 130940928 z^6 + 130940928 E^(4 Sqrt[z]) z^6 - 262144 z^(13/2) - 262144 E^(4 Sqrt[z]) z^(13/2) + 1048576 z^7 - 1048576 E^(4 Sqrt[z]) z^7 + 256 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(17/4) (-99799875 + 15207600 z - 512256 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] + 256 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(17/4) (-99799875 + 15207600 z - 512256 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