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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-3/4





http://functions.wolfram.com/07.22.03.7853.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(3/4), 11/4}, -z] == (1/(1966080 z^(7/4))) (7 (4 z^(3/4) (8775 + 47820 z + 71040 z^2 - 1024 z^3) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((26325 - 112320 z - 280800 z^2 - 599040 z^3 + 8192 z^4) Cos[2 Sqrt[z]] + 18 Sqrt[z] (2925 - 8580 z - 41600 z^2 + 7168 z^3) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-18 Sqrt[z] (2925 - 8580 z - 41600 z^2 + 7168 z^3) Cos[2 Sqrt[z]] + (26325 - 112320 z - 280800 z^2 - 599040 z^3 + 8192 z^4) 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