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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=1, b1>=-23/4 > For fixed z and a1=1, b1=-23/4





http://functions.wolfram.com/07.22.03.6219.01









  


  










Input Form





HypergeometricPFQ[{1}, {-(23/4), -(5/4)}, -z] == (1/7571025) (7571025 - 1053360 z + 887040 z^2 - 831488 z^3 + 65536 z^4 + 8192 Sqrt[Pi] z^(9/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((105 - 180 z + 16 z^2) Cos[2 Sqrt[z]] + 10 (21 - 8 z) Sqrt[z] Sin[2 Sqrt[z]]) - 8192 Sqrt[Pi] z^(9/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (10 Sqrt[z] (-21 + 8 z) Cos[2 Sqrt[z]] + (105 - 180 z + 16 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