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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=15/4, b1`>=-11/2 > For fixed z and a1=15/4, b1`=-7/2





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









  


  










Input Form





HypergeometricPFQ[{15/4}, {-(7/2), 21/4}, -z] == (1/(282591232 Sqrt[2] z^(15/4))) (221 (2 Sqrt[z] (148284581445 + 134752131360 z - 37988375040 z^2 + 3700629504 z^3 - 167903232 z^4 + 2097152 z^5) BesselJ[1/4, Sqrt[z]]^2 - (741422907225 + 1200994724160 z - 503927424000 z^2 + 66413445120 z^3 - 4049338368 z^4 + 104857600 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (741422907225 - 380707477920 z + 67227240960 z^2 - 5381529600 z^3 + 208797696 z^4 - 2097152 z^5) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^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