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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=-9/2, b1`>=-11/2 > For fixed z and a1=-9/2, b1=7/2





http://functions.wolfram.com/07.22.03.0963.01









  


  










Input Form





HypergeometricPFQ[{-(9/2)}, {7/2, 5}, z] == (1/(123502579200 z^(7/2))) (-4 (2 Sqrt[z] (914457600 - 4724697600 z - 11092263525 z^2 - 30491445600 z^3 + 19866596400 z^4 - 2360452608 z^5 + 86638848 z^6 - 1097728 z^7 + 4096 z^8) BesselI[0, 2 Sqrt[z]] + (-1828915200 + 8534937600 z + 16206915375 z^2 + 22282759800 z^3 - 18757413360 z^4 + 2318075136 z^5 - 86093568 z^6 + 1095680 z^7 - 4096 z^8) BesselI[1, 2 Sqrt[z]]) + Pi z^(3/2) (-32564156625 - 60786425700 z - 104205301200 z^2 + 77189112000 z^3 - 9356256000 z^4 + 345461760 z^5 - 4386816 z^6 + 16384 z^7) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi z^(3/2) (32564156625 + 60786425700 z + 104205301200 z^2 - 77189112000 z^3 + 9356256000 z^4 - 345461760 z^5 + 4386816 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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<times /> <cn type='integer'> 22282759800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 16206915375 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 8534937600 </cn> <ci> z </ci> </apply> <cn type='integer'> -1828915200 </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> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02