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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=7/2





http://functions.wolfram.com/07.22.03.1305.01









  


  










Input Form





HypergeometricPFQ[{-(7/2)}, {7/2, 5}, z] == (1/(518918400 z^(7/2))) (4 (2 Sqrt[z] (-7257600 + 32659200 z + 64529325 z^2 + 138518100 z^3 - 73680480 z^4 + 6592128 z^5 - 161536 z^6 + 1024 z^7) BesselI[0, 2 Sqrt[z]] - (-14515200 + 58060800 z + 91981575 z^2 + 106766100 z^3 - 70521120 z^4 + 6512256 z^5 - 161024 z^6 + 1024 z^7) BesselI[1, 2 Sqrt[z]]) - Pi z^(3/2) (212837625 + 340540200 z + 486486000 z^2 - 288288000 z^3 + 26208000 z^4 - 645120 z^5 + 4096 z^6) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi z^(3/2) (212837625 + 340540200 z + 486486000 z^2 - 288288000 z^3 + 26208000 z^4 - 645120 z^5 + 4096 z^6) BesselI[0, 2 Sqrt[z]] StruveL[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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type='integer'> -14515200 </cn> </apply> <apply> <ci> BesselI </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