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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=-23/4





http://functions.wolfram.com/07.22.03.7665.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(23/4), -(5/4)}, -z] == (1/113565375) (3 (37855125 - 31600800 z + 93139200 z^2 - 68710740 z^3 - 27732320 z^4 - 5585920 z^5 + 98304 z^6) - Sqrt[Pi] z^(9/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-353296125 - 20706000 z + 12180000 z^2 - 3712000 z^3 + 8192 z^4) Cos[2 Sqrt[z]] + 145 (2436525 - 3105900 z - 1140720 z^2 - 243200 z^3 + 4096 z^4) Sin[2 Sqrt[z]]) - Sqrt[Pi] z^(9/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (-145 (2436525 - 3105900 z - 1140720 z^2 - 243200 z^3 + 4096 z^4) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-353296125 - 20706000 z + 12180000 z^2 - 3712000 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