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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=3/2





http://functions.wolfram.com/07.22.03.0558.01









  


  










Input Form





HypergeometricPFQ[{-(11/2)}, {3/2, 4}, -z] == (1/(66162096000 z^(5/2))) (4 (2 Sqrt[z] (89812800 + 209563200 z + 10059033600 z^2 + 22241701575 z^3 + 7760508660 z^4 + 741140064 z^5 + 24306816 z^6 + 287488 z^7 + 1024 z^8) BesselJ[0, 2 Sqrt[z]] - (179625600 + 329313600 z + 3353011200 z^2 + 18913418325 z^3 + 7409956500 z^4 + 729233568 z^5 + 24163968 z^6 + 286976 z^7 + 1024 z^8) BesselJ[1, 2 Sqrt[z]]) + Pi z^(5/2) (23880381525 + 81875593800 z + 30324294000 z^2 + 2940537600 z^3 + 96940800 z^4 + 1148928 z^5 + 4096 z^6) BesselJ[1, 2 Sqrt[z]] StruveH[0, 2 Sqrt[z]] - Pi z^(5/2) (23880381525 + 81875593800 z + 30324294000 z^2 + 2940537600 z^3 + 96940800 z^4 + 1148928 z^5 + 4096 z^6) BesselJ[0, 2 Sqrt[z]] StruveH[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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3353011200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 329313600 </cn> <ci> z </ci> </apply> <cn type='integer'> 179625600 </cn> </apply> <apply> <ci> BesselJ </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