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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`=-5/2





http://functions.wolfram.com/07.22.03.8702.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(5/2), 13/4}, z] == ((-2 Sqrt[z] (-288735522075 - 1238431194000 z + 1008306351360 z^2 + 672092467200 z^3 + 165584240640 z^4 + 203663867904 z^5 - 18673041408 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]]^2 + 3 (-481225870125 + 1377825649200 z + 2221835616000 z^2 + 1014646026240 z^3 + 317977067520 z^4 + 187721318400 z^5 - 18438160384 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (-1443677610375 + 1053631378800 z + 1943349408000 z^2 + 946944552960 z^3 + 300760104960 z^4 + 189923328000 z^5 - 18471714816 z^6 + 268435456 z^7) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(1859803545600 Sqrt[2] z^(7/4))










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