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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=5/2





http://functions.wolfram.com/07.22.03.0591.01









  


  










Input Form





HypergeometricPFQ[{-(11/2)}, {5/2, 4}, z] == (1/(1235025792000 z^(5/2))) (4 (2 Sqrt[z] (-1676505600 + 13412044800 z + 228440260125 z^2 - 303376462200 z^3 + 72018641520 z^4 - 5179621632 z^5 + 136051456 z^6 - 1341440 z^7 + 4096 z^8) BesselI[0, 2 Sqrt[z]] + (3353011200 - 25147584000 z - 122014898775 z^2 + 271347022800 z^3 - 69542005680 z^4 + 5112751104 z^5 - 135384320 z^6 + 1339392 z^7 - 4096 z^8) BesselI[1, 2 Sqrt[z]]) - Pi z^(3/2) (119401907625 + 668650682700 z - 1146258313200 z^2 + 283026744000 z^3 - 20583763200 z^4 + 542868480 z^5 - 5361664 z^6 + 16384 z^7) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi z^(3/2) (119401907625 + 668650682700 z - 1146258313200 z^2 + 283026744000 z^3 - 20583763200 z^4 + 542868480 z^5 - 5361664 z^6 + 16384 z^7) BesselI[0, 2 Sqrt[z]] StruveL[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 122014898775 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 25147584000 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 3353011200 </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> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02