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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.9815.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {-(7/2), 21/4}, -z] == ((2 Sqrt[z] (-1474690162470525 - 1808497888797600 z - 161911881331200 z^2 - 6515212492800 z^3 + 31648481280000 z^4 - 6075111702528 z^5 + 564016447488 z^6 - 35970351104 z^7 + 4294967296 z^8) BesselJ[1/4, Sqrt[z]]^2 - 3 (-2457816937450875 - 4761944081294400 z + 215882508441600 z^2 - 55678659379200 z^3 + 38341420646400 z^4 - 6649880248320 z^5 + 601832292352 z^6 - 39728447488 z^7 + 4294967296 z^8) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (-7373450812352625 + 1444196155802400 z - 36347565196800 z^2 - 40470351667200 z^3 + 36972055756800 z^4 - 6546480168960 z^5 + 595222069248 z^6 - 39191576576 z^7 + 4294967296 z^8) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(48831764889600 Sqrt[2] z^(15/4))










Standard Form





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MathML Form







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</apply> <apply> <power /> <apply> <ci> Gamma </ci> <cn type='rational'> 5 <sep /> 4 </cn> </apply> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 48831764889600 </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> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02