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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`=1/2





http://functions.wolfram.com/07.22.03.ag5y.01









  


  










Input Form





HypergeometricPFQ[{21/4}, {1/2, 23/4}, z] == (1/(57933824 Sqrt[2] z^(17/4))) (1463 (2 Sqrt[z] (11486475 + 13487760 z + 3306240 z^2 + 413696 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]]^2 - 9 (3828825 + 10330320 z + 3831040 z^2 + 610304 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (34459425 + 19459440 z + 4167936 z^2 + 503808 z^3 + 65536 z^4) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^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