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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`=-3/2





http://functions.wolfram.com/07.22.03.8738.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(3/2), 1/4}, z] == (1/(1309770 Sqrt[2] z^(1/4))) ((2 (1309770 + 15717240 z + 36193311 z^2 - 147581280 z^3 + 58189824 z^4 - 4300800 z^5 + 65536 z^6) BesselI[1/4, Sqrt[z]]^2 - 3 Sqrt[z] (-3492720 - 30488535 z - 102586176 z^2 + 54523392 z^3 - 4243456 z^4 + 65536 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 z (5239080 + 28596645 z + 107974944 z^2 - 55028736 z^3 + 4251648 z^4 - 65536 z^5) 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