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





http://functions.wolfram.com/07.22.03.6787.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(23/4), -(21/4)}, -z] == (1/316234143225) (316234143225 - 31426995600 z + 3113510400 z^2 - 425779200 z^3 + 103219200 z^4 - 66060288 z^5 + 469762048 z^6 - 8388608 z^7 - 1048576 Sqrt[Pi] z^(25/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-957 + 16 z) Cos[2 Sqrt[z]] + 256 Sqrt[z] Sin[2 Sqrt[z]]) + 1048576 Sqrt[Pi] z^(25/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-256 Sqrt[z] Cos[2 Sqrt[z]] + (-957 + 16 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