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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=5, b1>=-23/4 > For fixed z and a1=5, b1=-15/4





http://functions.wolfram.com/07.22.03.7467.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(15/4), 11/4}, -z] == (1/(2027520 z^(7/4))) (-4 z^(3/4) (-467775 - 4680 z + 328080 z^2 + 22656 z^3 + 2048 z^4) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((1403325 - 3912300 z + 1058400 z^2 + 2479680 z^3 + 153600 z^4 + 16384 z^5) Cos[2 Sqrt[z]] + 30 Sqrt[z] (93555 - 136080 z - 77616 z^2 + 26112 z^3 + 4096 z^4) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-30 Sqrt[z] (93555 - 136080 z - 77616 z^2 + 26112 z^3 + 4096 z^4) Cos[2 Sqrt[z]] + (1403325 - 3912300 z + 1058400 z^2 + 2479680 z^3 + 153600 z^4 + 16384 z^5) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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</cn> </apply> </apply> <apply> <times /> <cn type='integer'> 26112 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 77616 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 136080 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 93555 </cn> </apply> <apply> <cos /> <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> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02