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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`=1/2





http://functions.wolfram.com/07.22.03.abq0.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {1/2, 23/4}, -z] == (1/(25165824 Sqrt[2] z^(17/4))) (209 (2 Sqrt[z] (-11486475 + 9884160 z + 207360 z^2 + 65536 z^3 + 65536 z^4) BesselJ[-(1/4), Sqrt[z]]^2 + (34459425 - 82162080 z + 7464960 z^2 - 24576 z^3 - 65536 z^4) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (34459425 - 8648640 z + 216576 z^2 + 49152 z^3 + 65536 z^4) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)










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