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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=11/2





http://functions.wolfram.com/07.22.03.abw6.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {11/2, 5/4}, -z] == (1/(113152 z^(9/2))) (21 (2 Sqrt[z] (61425 - 18000 z - 480 z^2 + 512 z^3) Cos[2 Sqrt[z]] + 8192 Sqrt[Pi] z^(17/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + (-61425 + 99900 z - 1680 z^2 + 768 z^3 - 4096 z^4) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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Rule Form





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





2007-05-02