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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`=7/2





http://functions.wolfram.com/07.22.03.8982.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {7/2, 5/4}, z] == ((2 z (1759207097340 - 4454924237379 z + 2417608858896 z^2 - 340076588544 z^3 + 15299665920 z^4 - 235339776 z^5 + 1048576 z^6) BesselI[1/4, Sqrt[z]]^2 - 3 Sqrt[z] (8683775100 - 2756811536325 z + 2141166124944 z^2 - 327030004224 z^3 + 15095291904 z^4 - 234422272 z^5 + 1048576 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (32564156625 - 121572851400 z + 5871252278430 z^2 - 4353855704352 z^3 + 657660681216 z^4 - 30248386560 z^5 + 469106688 z^6 - 2097152 z^7) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(1756601964810 Sqrt[2] z^(5/4))










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