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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.a7tk.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {7/2, 7/4}, z] == (1/(446557224960 z^(5/2))) ((4 (171849600 + 343699200 Sqrt[z] - 687398400 z - 1833062400 z^(3/2) - 6301599525 z^2 + 32875225380 z^(5/2) + 3458073600 z^3 - 14770909440 z^(7/2) - 342766080 z^4 + 1398405120 z^(9/2) + 9338880 z^5 - 37552128 z^(11/2) - 65536 z^6 + 262144 z^(13/2) + E^(4 Sqrt[z]) (-171849600 + 343699200 Sqrt[z] + 687398400 z - 1833062400 z^(3/2) + 6301599525 z^2 + 32875225380 z^(5/2) - 3458073600 z^3 - 14770909440 z^(7/2) + 342766080 z^4 + 1398405120 z^(9/2) - 9338880 z^5 - 37552128 z^(11/2) + 65536 z^6 + 262144 z^(13/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(7/4) (-19361274075 + 140809266000 z - 60078620160 z^2 + 5621391360 z^3 - 150405120 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(7/4) (19361274075 - 140809266000 z + 60078620160 z^2 - 5621391360 z^3 + 150405120 z^4 - 1048576 z^5) 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