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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/07.22.03.8504.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {11/2, 7/4}, z] == ((4 z (551456539759125 - 429706394617500 z + 471449301523200 z^2 + 30598101212679000 z^3 - 28240149131251200 z^4 + 5073521935472640 z^5 - 289270535290880 z^6 + 6220744753152 z^7 - 51438944256 z^8 + 134217728 z^9) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (1654369619277375 - 974001161133000 z + 1152431625945600 z^2 + 9457151242839300 z^3 - 12745141589980800 z^4 + 2451299652172800 z^5 - 142733704888320 z^6 + 3094410428416 z^7 - 25677529088 z^8 + 67108864 z^9) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + (4963108857832125 - 1976649415240500 z + 2851613483518800 z^2 - 10686184167859200 z^3 - 100350529292613600 z^4 + 108296913419735040 z^5 - 20014168369029120 z^6 + 1150940781477888 z^7 - 24831749783552 z^8 + 205621559296 z^9 - 536870912 z^10) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(92494595505312000 Sqrt[2] z^(15/4))










Standard Form





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MathML Form







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</cn> </apply> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 92494595505312000 </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