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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=4





http://functions.wolfram.com/07.22.03.0975.01









  


  










Input Form





HypergeometricPFQ[{-(9/2)}, {4, 11/2}, z] == (1/(4250979532800 z^4)) (-4 (2 z (-67043851875 - 609485990400 z - 679556304000 z^2 - 1167167232000 z^3 + 602657118720 z^4 - 58568048640 z^5 + 1816461312 z^6 - 19922944 z^7 + 65536 z^8) BesselI[0, 2 Sqrt[z]] + Sqrt[z] (201131555625 + 927810109800 z + 926545586400 z^2 + 909803664000 z^3 - 574875555840 z^4 + 57676953600 z^5 - 1806557184 z^6 + 19890176 z^7 - 65536 z^8) BesselI[1, 2 Sqrt[z]]) + Pi (201131555625 - 1034390857500 z - 3310050744000 z^2 - 3432645216000 z^3 - 4119174259200 z^4 + 2353813862400 z^5 - 232475443200 z^6 + 7245987840 z^7 - 79626240 z^8 + 262144 z^9) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi (-201131555625 + 1034390857500 z + 3310050744000 z^2 + 3432645216000 z^3 + 4119174259200 z^4 - 2353813862400 z^5 + 232475443200 z^6 - 7245987840 z^7 + 79626240 z^8 - 262144 z^9) BesselI[0, 2 Sqrt[z]] StruveL[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7245987840 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 232475443200 </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'> 2353813862400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 4119174259200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 3432645216000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 3310050744000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1034390857500 </cn> <ci> z </ci> </apply> <cn type='integer'> 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Rule Form





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





2007-05-02