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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`=-9/2





http://functions.wolfram.com/07.22.03.8570.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), -(23/4)}, z] == (1/(1430923725 z^(1/4))) (Sqrt[2] ((1430923725 - 3152179800 z + 1571724000 z^2 + 182198016 z^3 + 3677184 z^4 - 688128 z^5 + 262144 z^6) BesselI[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (-476974575 + 414760500 z + 150242400 z^2 + 4888128 z^3 - 57344 z^4 + 32768 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 4 z (1430923725 + 663616800 z + 70686000 z^2 - 854784 z^3 + 122880 z^4 - 65536 z^5) BesselI[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