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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=-7/4, b1`>=-11/2 > For fixed z and a1=-7/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.a9v8.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {-(3/2), 19/4}, z] == (1/(37748736 Sqrt[2] z^(13/4))) ((2 Sqrt[z] (337702365 + 257297040 z - 23901696 z^2 + 20963328 z^3 + 7405568 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]]^2 - (1013107095 + 2315673360 z + 13837824 z^2 + 27353088 z^3 + 8060928 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (1013107095 + 154378224 z + 13837824 z^2 - 23224320 z^3 - 7667712 z^4 - 1048576 z^5) 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