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





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









  


  










Input Form





HypergeometricPFQ[{7/4}, {-(11/2), 21/4}, -z] == (221 (2 Sqrt[z] (13493896911495 + 13059182283840 z - 2703764448000 z^2 + 159116525568 z^3 - 2906652672 z^4 + 8388608 z^5) BesselJ[1/4, Sqrt[z]]^2 - 3 (22489828185825 + 37758070516320 z - 13086219928320 z^2 + 1190819266560 z^3 - 36780900352 z^4 + 301989888 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (67469484557475 - 30660688840320 z + 4217872538880 z^2 - 202980556800 z^3 + 3252682752 z^4 - 8388608 z^5) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(5813305344 Sqrt[2] z^(15/4))










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