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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=-13/4





http://functions.wolfram.com/07.22.03.7489.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(13/4), 17/4}, -z] == (1/(393216 z^(13/4))) (2 z^(1/4) (18243225 - 9480240 z + 2661120 z^2 - 749568 z^3 + 99840 z^4 + 8192 z^5) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (18243225 - 14345100 z + 4324320 z^2 - 1298880 z^3 + 202752 z^4 + 16384 z^5) Cos[2 Sqrt[z]] - 165 (110565 - 234360 z + 102816 z^2 - 26880 z^3 + 8192 z^4) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (165 (110565 - 234360 z + 102816 z^2 - 26880 z^3 + 8192 z^4) Cos[2 Sqrt[z]] + 2 Sqrt[z] (18243225 - 14345100 z + 4324320 z^2 - 1298880 z^3 + 202752 z^4 + 16384 z^5) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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<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> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02