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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.abwm.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {11/2, 21/4}, -z] == (1/(8388608 z^(9/2))) (315 (Sqrt[Pi] z^(1/4) (5817825 - 5728320 z + 1697280 z^2 - 278528 z^3 + 65536 z^4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 ((-Sqrt[z]) (-656865 + 137520 z - 21248 z^2 + 4096 z^3) Cos[2 Sqrt[z]] + 4 (645120 - 395445 z + 111024 z^2 - 18176 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