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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=-17/4





http://functions.wolfram.com/07.22.03.7743.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(17/4), 21/4}, -z] == (1/(31457280 z^(17/4))) (6 z^(1/4) (-20158763625 + 9340531200 z - 2108106000 z^2 + 290062080 z^3 - 38954240 z^4 + 4874240 z^5 + 65536 z^6) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((60476290875 - 124783659000 z + 48291843600 z^2 - 8602070400 z^3 + 1070150400 z^4 - 169973760 z^5 + 9830400 z^6 + 524288 z^7) Cos[2 Sqrt[z]] - 10 Sqrt[z] (-12095258175 + 8829720900 z - 2185943760 z^2 + 306979200 z^3 - 41285376 z^4 + 5627904 z^5 + 65536 z^6) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (10 Sqrt[z] (-12095258175 + 8829720900 z - 2185943760 z^2 + 306979200 z^3 - 41285376 z^4 + 5627904 z^5 + 65536 z^6) Cos[2 Sqrt[z]] + (60476290875 - 124783659000 z + 48291843600 z^2 - 8602070400 z^3 + 1070150400 z^4 - 169973760 z^5 + 9830400 z^6 + 524288 z^7) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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48291843600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 124783659000 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 60476290875 </cn> </apply> <apply> <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> </annotation-xml> </semantics> </math>










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





2007-05-02