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





http://functions.wolfram.com/07.22.03.7087.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(23/4), -(1/4)}, -z] == (1/4542615) (4542615 - 12640320 z + 11178720 z^2 + 1964160 z^3 - 10752 z^4 + 8192 z^5 + 8 Sqrt[Pi] z^(5/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-1879605 + 2784600 z + 428400 z^2 - 8064 z^3 + 2048 z^4) Cos[2 Sqrt[z]] + 6 Sqrt[z] (-626535 + 92820 z + 43792 z^2 + 3840 z^3) Sin[2 Sqrt[z]]) - 8 Sqrt[Pi] z^(5/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-6 Sqrt[z] (-626535 + 92820 z + 43792 z^2 + 3840 z^3) Cos[2 Sqrt[z]] + (-1879605 + 2784600 z + 428400 z^2 - 8064 z^3 + 2048 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