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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`=1/2





http://functions.wolfram.com/07.22.03.a7px.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {1/2, 19/4}, -z] == (Sqrt[Pi] (-4656674397375 - 4168212048000 z - 3705077376000 z^2 - 7904165068800 z^3 + 158083301376000 z^4 + 134897750507520 z^5 + 17129873080320 z^6 + 547608330240 z^7 + 4294967296 z^8) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-1552224799125 - 679815536400 z - 714550636800 z^2 + 8659937341440 z^3 + 8243725271040 z^4 + 1064309882880 z^5 + 34175188992 z^6 + 268435456 z^7) Cos[2 Sqrt[z]] + (4656674397375 - 798907309200 z + 520475155200 z^2 + 4940103168000 z^3 + 7544889999360 z^4 + 1039521546240 z^5 + 33973862400 z^6 + 268435456 z^7) Sin[2 Sqrt[z]]))/(86586540687360 z^(15/4))










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