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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.ag5u.01









  


  








Input Form





HypergeometricPFQ[{21/4}, {1/2, 19/4}, z] == (1/(1810432 Sqrt[2] z^(13/4))) (77 (2 Sqrt[z] (45045 + 59040 z + 22272 z^2 + 20480 z^3) BesselI[-(1/4), Sqrt[z]]^2 + (-135135 - 383040 z - 191232 z^2 - 65536 z^3 + 32768 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (135135 + 94752 z + 33024 z^2 + 16384 z^3) 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