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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=7/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {7/2, 15/4}, -z] == (1/(1572864 z^(11/4))) (Sqrt[Pi] (363825 - 1108800 z + 1267200 z^2 + 1228800 z^3 + 65536 z^4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-63045 + 66480 z + 76032 z^2 + 4096 z^3) Cos[2 Sqrt[z]] + (4815 + 22320 z + 72960 z^2 + 4096 z^3) Sin[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