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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.afy6.01









  


  










Input Form





HypergeometricPFQ[{21/4}, {-(9/2), -(17/4)}, z] == (1/(93463358625 Sqrt[2])) (z^(1/4) ((93463358625 + 212583325500 z + 170517765600 z^2 + 67298212800 z^3 + 24807444480 z^4 + 61590896640 z^5 + 47448064000 z^6 + 616562688 z^7) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-93463358625 - 137812638600 z - 66913938000 z^2 - 22749068160 z^3 - 10265149440 z^4 + 50641305600 z^5 + 4012900352 z^6 + 8388608 z^7) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 20 z (18692671725 + 12608390340 z + 4625331984 z^2 + 1582543872 z^3 + 1026514944 z^4 + 2179203072 z^5 + 30408704 z^6) 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