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





http://functions.wolfram.com/07.22.03.7219.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(11/4), 23/4}, -z] == (1/(262144 z^(19/4))) (95 (4 z^(3/4) (780404625 - 202161960 z + 22286880 z^2 - 1177344 z^3 + 26624 z^4) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (3 (-780404625 + 1539998460 z - 478502640 z^2 + 55198080 z^3 - 2994432 z^4 + 69632 z^5) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-2341213875 + 1498376880 z - 270103680 z^2 + 21095424 z^3 - 784896 z^4 + 8192 z^5) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-2341213875 + 1498376880 z - 270103680 z^2 + 21095424 z^3 - 784896 z^4 + 8192 z^5) Cos[2 Sqrt[z]] - 3 (-780404625 + 1539998460 z - 478502640 z^2 + 55198080 z^3 - 2994432 z^4 + 69632 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