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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=5/2





http://functions.wolfram.com/07.22.03.8923.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {5/2, -(7/4)}, -z] == (1/(4292771175 z^(1/4))) (Sqrt[2] ((4292771175 + 3140998560 z - 4423507200 z^2 + 10936074240 z^3 + 3526483968 z^4 + 187170816 z^5 + 2097152 z^6) BesselJ[1/4, Sqrt[z]]^2 - 96 Sqrt[z] (163593675 - 154080360 z + 126766080 z^2 + 52590720 z^3 + 2895872 z^4 + 32768 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (-1832614875 + 10291730400 z - 9667848960 z^2 + 8469135360 z^3 + 3388170240 z^4 + 185597952 z^5 + 2097152 z^6) 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