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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`=11/2





http://functions.wolfram.com/07.22.03.a7w8.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {11/2, 7/4}, z] == (1/(1922676940800 z^(9/2))) ((4 (7236479250 + 14472958500 Sqrt[z] + 7894341000 z - 3508596000 z^(3/2) - 2506140000 z^2 + 4811788800 z^(5/2) - 3742502400 z^3 - 17108582400 z^(7/2) - 26662196925 z^4 + 127915210500 z^(9/2) + 8790176640 z^5 - 36850302720 z^(11/2) - 602667520 z^6 + 2446366720 z^(13/2) + 12124160 z^7 - 48693248 z^(15/2) - 65536 z^8 + 262144 z^(17/2) + E^(4 Sqrt[z]) (-7236479250 + 14472958500 Sqrt[z] - 7894341000 z - 3508596000 z^(3/2) + 2506140000 z^2 + 4811788800 z^(5/2) + 3742502400 z^3 - 17108582400 z^(7/2) + 26662196925 z^4 + 127915210500 z^(9/2) - 8790176640 z^5 - 36850302720 z^(11/2) + 602667520 z^6 + 2446366720 z^(13/2) - 12124160 z^7 - 48693248 z^(15/2) + 65536 z^8 + 262144 z^(17/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (-127315044675 + 536063346000 z - 149165452800 z^2 + 9821593600 z^3 - 194969600 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (127315044675 - 536063346000 z + 149165452800 z^2 - 9821593600 z^3 + 194969600 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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Rule Form





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





2007-05-02