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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=-15/4, b1`>=-11/2 > For fixed z and a1=-15/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.a81y.01









  


  










Input Form





HypergeometricPFQ[{-(15/4)}, {-(5/2), 21/4}, z] == -((221 (-4 z^(1/4) (-82871947533375 - 110495930044500 Sqrt[z] - 58175634963600 z - 10217613067200 z^(3/2) + 1610123961600 z^2 - 644150707200 z^(5/2) - 291871641600 z^3 + 995812392960 z^(7/2) - 101216747520 z^4 + 367542927360 z^(9/2) - 15429795840 z^5 + 59202600960 z^(11/2) - 1761607680 z^6 + 7851737088 z^(13/2) + 268435456 z^7 - 1073741824 z^(15/2) + E^(4 Sqrt[z]) (-82871947533375 + 110495930044500 Sqrt[z] - 58175634963600 z + 10217613067200 z^(3/2) + 1610123961600 z^2 + 644150707200 z^(5/2) - 291871641600 z^3 - 995812392960 z^(7/2) - 101216747520 z^4 - 367542927360 z^(9/2) - 15429795840 z^5 - 59202600960 z^(11/2) - 1761607680 z^6 - 7851737088 z^(13/2) + 268435456 z^7 + 1073741824 z^(15/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-82871947533375 + 30221109072000 z - 8175758976000 z^2 + 2753939865600 z^3 - 3671919820800 z^4 - 1424259809280 z^5 - 232532213760 z^6 - 32212254720 z^7 + 4294967296 z^8) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (-82871947533375 + 30221109072000 z - 8175758976000 z^2 + 2753939865600 z^3 - 3671919820800 z^4 - 1424259809280 z^5 - 232532213760 z^6 - 32212254720 z^7 + 4294967296 z^8) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/(3694359069327360 z^(17/4)))










Standard Form





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MathML Form







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Rule Form





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





2007-05-02