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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-11/4





http://functions.wolfram.com/07.22.03.6929.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(11/4), 23/4}, -z] == (1/(65536 z^(19/4))) (285 (-4 z^(3/4) (111486375 - 24916320 z + 2217600 z^2 - 73728 z^3 + 512 z^4) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-334459125 + 648107460 z - 181787760 z^2 + 16732800 z^3 - 572672 z^4 + 4096 z^5) Cos[2 Sqrt[z]] - 2 Sqrt[z] (334459125 - 202161960 z + 31157280 z^2 - 1767168 z^3 + 32768 z^4) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (334459125 - 202161960 z + 31157280 z^2 - 1767168 z^3 + 32768 z^4) Cos[2 Sqrt[z]] + (-334459125 + 648107460 z - 181787760 z^2 + 16732800 z^3 - 572672 z^4 + 4096 z^5) Sin[2 Sqrt[z]])))










Standard Form





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MathML Form







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<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