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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`=11/2





http://functions.wolfram.com/07.22.03.8497.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {11/2, -(1/4)}, -z] == -(((4 z (-1099056740079375 - 363597718522500 z - 177388752340800 z^2 - 632732692838400 z^3 + 2591100687974400 z^4 + 2152411421368320 z^5 + 283944399667200 z^6 + 10970462158848 z^7 + 142472118272 z^8 + 536870912 z^9) BesselJ[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (-3297170220238125 - 462760732665000 z - 291771071222400 z^2 - 328219560345600 z^3 + 807778079539200 z^4 + 995899751239680 z^5 + 138660461936640 z^6 + 5441159430144 z^7 + 71068286976 z^8 + 268435456 z^9) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (-9891510660714375 + 495815070712500 z - 513003326497200 z^2 - 796738330080000 z^3 - 3200140713369600 z^4 + 8584791854284800 z^5 + 8341833603317760 z^6 + 1125025796063232 z^7 + 43740215377920 z^8 + 569351602176 z^9 + 2147483648 z^10) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(1940446059552000 Sqrt[2] z^(15/4)))










Standard Form





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MathML Form







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type='rational'> 3 <sep /> 4 </cn> </apply> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 1940446059552000 </cn> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 15 <sep /> 4 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02