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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=2, b1>=-23/4 > For fixed z and a1=2, b1=3/4





http://functions.wolfram.com/07.22.03.6729.01









  


  










Input Form





HypergeometricPFQ[{2}, {3/4, 13/4}, -z] == (1/(512 z^(9/4))) (45 (2 (15 - 4 z) z^(1/4) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-15 + 8 z) Cos[2 Sqrt[z]] + (15 - 28 z) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((-15 + 28 z) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-15 + 8 z) 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