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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=-7/4





http://functions.wolfram.com/07.22.03.7251.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(7/4), 23/4}, -z] == -((1/(524288 z^(19/4))) (1045 (-4 z^(3/4) (52026975 - 13264020 z + 1421280 z^2 - 69440 z^3 + 1024 z^4) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-156080925 + 307359360 z - 94409280 z^2 + 10590720 z^3 - 532992 z^4 + 8192 z^5) Cos[2 Sqrt[z]] - 2 Sqrt[z] (156080925 - 99251460 z + 17569440 z^2 - 1313088 z^3 + 41984 z^4) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (156080925 - 99251460 z + 17569440 z^2 - 1313088 z^3 + 41984 z^4) Cos[2 Sqrt[z]] + (-156080925 + 307359360 z - 94409280 z^2 + 10590720 z^3 - 532992 z^4 + 8192 z^5) Sin[2 Sqrt[z]]))))










Standard Form





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MathML Form







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<sin /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02