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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`=-7/2





http://functions.wolfram.com/07.22.03.8642.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(7/2), 1/4}, z] == (1/(2381400 Sqrt[2] z^(1/4))) ((2 (2381400 + 9525600 z - 7624449 z^2 - 5586336 z^3 - 1419264 z^4 - 1204224 z^5 + 65536 z^6) BesselI[1/4, Sqrt[z]]^2 + 3 Sqrt[z] (6350400 + 17787735 z + 8176896 z^2 + 2376192 z^3 + 1146880 z^4 - 65536 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 z (9525600 + 15260805 z + 7638624 z^2 + 2257920 z^3 + 1155072 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