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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=7/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {7/2, 23/4}, z] == (1/(9437184 Sqrt[2] z^(17/4))) (209 (2 Sqrt[z] (259875 + 47520 z + 414720 z^2 + 155648 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]]^2 - (779625 + 1330560 z + 622080 z^2 + 196608 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (-779625 + 332640 z + 479232 z^2 + 172032 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