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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=15/4, b1`>=-11/2 > For fixed z and a1=15/4, b1`=1/2





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









  


  










Input Form





HypergeometricPFQ[{15/4}, {1/2, 21/4}, z] == (1/(2523136 Sqrt[2] z^(15/4))) (3315 (2 Sqrt[z] (-405405 + 376992 z + 96768 z^2 + 8192 z^3) BesselI[1/4, Sqrt[z]]^2 - 3 (-675675 + 1108800 z + 437248 z^2 + 49152 z^3) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (2027025 + 997920 z + 158208 z^2 + 8192 z^3) 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