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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`=9/2





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









  


  










Input Form





HypergeometricPFQ[{21/4}, {9/2, -(13/4)}, z] == (1/(24822720 Sqrt[2] z^(11/4))) (7 (4 z (204417675 + 79603920 z + 17149440 z^2 + 5345280 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-613253025 - 355621860 z - 88208640 z^2 - 22609920 z^3 - 3538944 z^4 + 262144 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 15 (122650605 + 94486392 z + 29975616 z^2 + 6561792 z^3 + 1654784 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