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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=7/2





http://functions.wolfram.com/07.22.03.8381.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {7/2, -(21/4)}, -z] == ((4 z (639695882184975 + 549479043867600 z - 264360787257600 z^2 + 40031725916160 z^3 - 3184639672320 z^4 + 163398549504 z^5 - 6325010432 z^6 + 268435456 z^7) BesselJ[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (1919087646554925 + 448081908258600 z - 149269492310400 z^2 + 21206033418240 z^3 - 1650255298560 z^4 + 83901284352 z^5 - 3246391296 z^6 + 134217728 z^7) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (5757262939664775 + 247624212458700 z + 2578436244014400 z^2 - 1104479494272000 z^3 + 163633442734080 z^4 - 12913816633344 z^5 + 660338638848 z^6 - 25568477184 z^7 + 1073741824 z^8) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (1113086292318000 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