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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`=-11/2





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









  


  










Input Form





HypergeometricPFQ[{21/4}, {-(11/2), 15/4}, -z] == (1/(7332249600 Sqrt[2] z^(9/4))) ((2 Sqrt[z] (104928949125 - 138088314000 z + 56443046400 z^2 - 14583029760 z^3 - 518062080 z^4 + 143654912 z^5 + 4194304 z^6) BesselJ[-(1/4), Sqrt[z]]^2 + (-314786847375 + 893940138000 z - 450704217600 z^2 + 147867033600 z^3 - 11882004480 z^4 - 2444230656 z^5 + 4194304 z^6) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 2 Sqrt[z] (314786847375 - 222394863600 z + 78592550400 z^2 - 15698534400 z^3 - 858193920 z^4 + 143130624 z^5 + 4194304 z^6) BesselJ[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