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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.afz7.01









  


  










Input Form





HypergeometricPFQ[{21/4}, {-(9/2), 19/4}, -z] == (11 (2 Sqrt[z] (-384739480125 + 465139584000 z - 127512403200 z^2 + 19661291520 z^3 - 2590310400 z^4 + 37748736 z^5 + 8388608 z^6) BesselJ[-(1/4), Sqrt[z]]^2 + (1154218440375 - 3154227804000 z + 1266302419200 z^2 - 233817292800 z^3 + 32704757760 z^4 - 2535456768 z^5 - 134217728 z^6) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 2 Sqrt[z] (-1154218440375 + 691895131200 z - 165472070400 z^2 + 24566169600 z^3 - 2902917120 z^4 + 18874368 z^5 + 8388608 z^6) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (7821066240 Sqrt[2] z^(13/4))










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