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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=-5/2, b1`>=-11/2 > For fixed z and a1=-5/2, b1=1





http://functions.wolfram.com/07.22.03.1570.01









  


  










Input Form





HypergeometricPFQ[{-(5/2)}, {1, 11/2}, -z] == (1/(5242880 z^4)) (4 (2 z (826875 + 252000 z + 126000 z^2 + 775680 z^3 + 1253632 z^4 + 180224 z^5 + 4096 z^6) BesselJ[0, 2 Sqrt[z]] - Sqrt[z] (2480625 + 315000 z + 226800 z^2 + 288000 z^3 + 1167104 z^4 + 178176 z^5 + 4096 z^6) BesselJ[1, 2 Sqrt[z]]) + Pi (2480625 + 1417500 z + 680400 z^2 + 504000 z^3 + 2016000 z^4 + 4838400 z^5 + 716800 z^6 + 16384 z^7) BesselJ[1, 2 Sqrt[z]] StruveH[0, 2 Sqrt[z]] - Pi (2480625 + 1417500 z + 680400 z^2 + 504000 z^3 + 2016000 z^4 + 4838400 z^5 + 716800 z^6 + 16384 z^7) BesselJ[0, 2 Sqrt[z]] StruveH[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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2480625 </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>










Rule Form





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





2007-05-02