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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`=3/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {3/2, 21/4}, -z] == -((1/(134217728 z^(17/4))) (3315 (Sqrt[Pi] (135135 + 60480 z + 23040 z^2 + 16384 z^3 - 65536 z^4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) ((-135135 + 83664 z + 4864 z^2 - 4096 z^3) Cos[2 Sqrt[z]] + 4 Sqrt[z] (-45045 + 432 z - 1792 z^2 + 4096 z^3) 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