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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=-7/2, b1`>=-11/2 > For fixed z and a1=-7/2, b1=4





http://functions.wolfram.com/07.22.03.1314.01









  


  










Input Form





HypergeometricPFQ[{-(7/2)}, {4, 9/2}, -z] == (1/(2214051840 z^3)) (4 (2 z (200004525 - 306318600 z + 600793200 z^2 + 309309696 z^3 + 27069184 z^4 + 653312 z^5 + 4096 z^6) BesselJ[0, 2 Sqrt[z]] - Sqrt[z] (329063175 - 429534000 z + 467071920 z^2 + 296328192 z^3 + 26746112 z^4 + 651264 z^5 + 4096 z^6) BesselJ[1, 2 Sqrt[z]]) + Pi (-212837625 + 1191890700 z - 1589187600 z^2 + 2118916800 z^3 + 1210809600 z^4 + 107627520 z^5 + 2609152 z^6 + 16384 z^7) BesselJ[1, 2 Sqrt[z]] StruveH[0, 2 Sqrt[z]] - Pi (-212837625 + 1191890700 z - 1589187600 z^2 + 2118916800 z^3 + 1210809600 z^4 + 107627520 z^5 + 2609152 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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<power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1589187600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1191890700 </cn> <ci> z </ci> </apply> <cn type='integer'> -212837625 </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