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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.aesw.01









  


  








Input Form





HypergeometricPFQ[{15/4}, {1/2, -(15/4)}, z] == (1/(800415 z^(1/4))) (Sqrt[2] (3 (266805 - 1067220 z + 1552320 z^2 - 728064 z^3 + 212992 z^4) BesselI[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (800415 - 2134440 z + 512640 z^2 + 288768 z^3 + 32768 z^4) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 12 z (266805 + 100560 z - 221440 z^2 + 45056 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