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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=-11/2, b1`>=-11/2 > For fixed z and a1=-11/2, b1=11/2





http://functions.wolfram.com/07.22.03.0653.01









  


  










Input Form





HypergeometricPFQ[{-(11/2)}, {11/2, 6}, z] == (4 (2 Sqrt[z] (1854081073152000 + 5658623250674625 z + 4433938513042500 z^2 + 2230034310504000 z^3 + 2241691682630400 z^4 - 905534781903360 z^5 + 76383839508480 z^6 - 2317700874240 z^7 + 29161095168 z^8 - 151453696 z^9 + 262144 z^10) BesselI[0, 2 Sqrt[z]] - (3708162146304000 + 8168984654551875 z + 5689683120082500 z^2 + 2811427591896000 z^3 + 1846599666912000 z^4 - 869246159685120 z^5 + 75249832089600 z^6 - 2303251660800 z^7 + 29085597696 z^8 - 151322624 z^9 + 262144 z^10) BesselI[1, 2 Sqrt[z]]) - Pi Sqrt[z] (15007028759848125 + 28584816685425000 z + 20581068013506000 z^2 + 10453875816384000 z^3 + 8130792301632000 z^4 - 3547982095257600 z^5 + 303246332928000 z^6 - 9241793003520 z^7 + 116493189120 z^8 - 605552640 z^9 + 1048576 z^10) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi Sqrt[z] (15007028759848125 + 28584816685425000 z + 20581068013506000 z^2 + 10453875816384000 z^3 + 8130792301632000 z^4 - 3547982095257600 z^5 + 303246332928000 z^6 - 9241793003520 z^7 + 116493189120 z^8 - 605552640 z^9 + 1048576 z^10) BesselI[0, 2 Sqrt[z]] StruveL[1, 2 Sqrt[z]])/(7208598542745600 z^(9/2))










Standard Form





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MathML Form







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<ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1846599666912000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2811427591896000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 5689683120082500 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 8168984654551875 </cn> <ci> z </ci> </apply> <cn type='integer'> 3708162146304000 </cn> </apply> <apply> <ci> BesselI </ci> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <pi /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 1048576 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 10 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 605552640 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 9 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 116493189120 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 9241793003520 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 303246332928000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3547982095257600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 8130792301632000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 10453875816384000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 20581068013506000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 28584816685425000 </cn> <ci> z </ci> </apply> <cn type='integer'> 15007028759848125 </cn> </apply> <apply> <ci> BesselI </ci> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <ci> StruveL </ci> <cn type='integer'> 0 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <pi /> <apply> 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Rule Form





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





2007-05-02