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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=-19/4





http://functions.wolfram.com/07.22.03.7717.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(19/4), 11/4}, -z] == (1/(385228800 z^(7/4))) (-4 z^(3/4) (-79053975 - 4801500 z + 64769760 z^2 + 2835264 z^3 - 354304 z^4 + 16384 z^5) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((237161925 - 681080400 z + 176904000 z^2 + 484323840 z^3 + 15475200 z^4 - 3293184 z^5 + 131072 z^6) Cos[2 Sqrt[z]] + 2 Sqrt[z] (237161925 - 364864500 z - 225257760 z^2 + 86374080 z^3 + 13977600 z^4 + 966656 z^5) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-2 Sqrt[z] (237161925 - 364864500 z - 225257760 z^2 + 86374080 z^3 + 13977600 z^4 + 966656 z^5) Cos[2 Sqrt[z]] + (237161925 - 681080400 z + 176904000 z^2 + 484323840 z^3 + 15475200 z^4 - 3293184 z^5 + 131072 z^6) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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<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