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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=11/2





http://functions.wolfram.com/07.22.03.aak9.01









  


  








Input Form





HypergeometricPFQ[{-(5/4)}, {11/2, 7/4}, -z] == (1/(2461184 z^(9/2))) (9 (2 Sqrt[z] (121275 - 8400 z + 7200 z^2 + 25600 z^3 + 58112 z^4 + 4096 z^5) Cos[2 Sqrt[z]] + 64 Sqrt[Pi] z^(15/4) (2185 + 3680 z + 256 z^2) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + (-121275 + 170100 z + 24720 z^2 - 2560 z^3 + 27520 z^4 + 2048 z^5) 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