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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/07.22.03.8995.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {7/2, 17/4}, -z] == ((2 Sqrt[z] (2382191800913925 - 33880061168553600 z + 398785663349821440 z^2 + 461515926328934400 z^3 + 99273086508072960 z^4 + 6574410232233984 z^5 + 160768544735232 z^6 + 1488206168064 z^7 + 4294967296 z^8) BesselJ[1/4, Sqrt[z]]^2 - 3 (3970319668189875 - 53643430183543200 z + 108058952178777600 z^2 + 383406861610967040 z^3 + 93748419990650880 z^4 + 6435907043328000 z^5 + 159472706125824 z^6 + 1484448071680 z^7 + 4294967296 z^8) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (11910959004569625 - 68429954013220800 z + 133893768635827200 z^2 + 393082362310901760 z^3 + 94496152550768640 z^4 + 6455285828812800 z^5 + 159656617967616 z^6 + 1484984942592 z^7 + 4294967296 z^8) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(326175221369733120 Sqrt[2] z^(11/4))










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