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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, b1>=-23/4 > For fixed z and a1=5, b1=-23/4





http://functions.wolfram.com/07.22.03.7369.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(23/4), -(17/4)}, -z] == (1/45176306175) (45176306175 - 9243234000 z + 1796256000 z^2 - 496742400 z^3 + 289013760 z^4 - 1189085184 z^5 - 1105960960 z^6 + 18481152 z^7 - 2048 Sqrt[Pi] z^(21/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((885225 + 1133088 z - 18176 z^2) Cos[2 Sqrt[z]] + 2 Sqrt[z] (885225 - 112672 z + 256 z^2) Sin[2 Sqrt[z]]) - 2048 Sqrt[Pi] z^(21/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (885225 - 112672 z + 256 z^2) Cos[2 Sqrt[z]] + (-885225 - 1133088 z + 18176 z^2) 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