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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=1





http://functions.wolfram.com/07.22.03.0886.01









  


  










Input Form





HypergeometricPFQ[{-(9/2)}, {1, 11/2}, -z] == (1/(95126814720 z^4)) (4 (2 z (3281866875 + 1536003000 z + 1000188000 z^2 + 13146779520 z^3 + 30837408768 z^4 + 8679057408 z^5 + 588226560 z^6 + 11960320 z^7 + 65536 z^8) BesselJ[0, 2 Sqrt[z]] - Sqrt[z] (9845600625 + 2857680000 z + 2114683200 z^2 + 3200601600 z^3 + 26961716736 z^4 + 8395112448 z^5 + 582303744 z^6 + 11927552 z^7 + 65536 z^8) BesselJ[1, 2 Sqrt[z]]) + Pi (9845600625 + 7233502500 z + 4629441600 z^2 + 4800902400 z^3 + 28805414400 z^4 + 115221657600 z^5 + 34139750400 z^6 + 2341011456 z^7 + 47775744 z^8 + 262144 z^9) BesselJ[1, 2 Sqrt[z]] StruveH[0, 2 Sqrt[z]] - Pi (9845600625 + 7233502500 z + 4629441600 z^2 + 4800902400 z^3 + 28805414400 z^4 + 115221657600 z^5 + 34139750400 z^6 + 2341011456 z^7 + 47775744 z^8 + 262144 z^9) BesselJ[0, 2 Sqrt[z]] StruveH[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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<cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 7233502500 </cn> <ci> z </ci> </apply> <cn type='integer'> 9845600625 </cn> </apply> <apply> <ci> BesselJ </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> <ci> StruveH </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> </annotation-xml> </semantics> </math>










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





2007-05-02