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variants of this functions
KelvinBer






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBer[nu,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/03.18.13.0007.01









  


  










Input Form





z^4 Derivative[4][w][z] + (6 - 4 r - 4 s) z^3 Derivative[3][w][z] + z^2 (7 + 12 r (-1 + s) + 6 (-2 + s) s - 2 r^2 (-2 + \[Nu]^2)) Derivative[2][w][z] + (-1 + 2 r + 2 s) z (-1 + r (2 - 4 s) - 2 (-1 + s) s + 2 r^2 \[Nu]^2) Derivative[1][w][z] + (4 r s^3 + s^4 - 4 r^3 s \[Nu]^2 - 2 r^2 s^2 (-2 + \[Nu]^2) + r^4 (a^4 z^(4 r) - 4 \[Nu]^2 + \[Nu]^4)) w[z] == 0 /; w[z] == Subscript[c, 1] z^s KelvinBer[\[Nu], a z^r] + Subscript[c, 2] z^s KelvinBei[\[Nu], a z^r] + Subscript[c, 3] z^s KelvinKer[\[Nu], a z^r] + Subscript[c, 4] z^s KelvinKei[\[Nu], a z^r]










Standard Form





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MathML Form







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</ci> <apply> <times /> <ci> a </ci> <apply> <power /> <ci> z </ci> <ci> r </ci> </apply> </apply> </apply> </apply> <apply> <times /> <apply> <ci> Subscript </ci> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <ci> s </ci> </apply> <apply> <ci> KelvinBei </ci> <ci> &#957; </ci> <apply> <times /> <ci> a </ci> <apply> <power /> <ci> z </ci> <ci> r </ci> </apply> </apply> </apply> </apply> <apply> <times /> <apply> <ci> Subscript </ci> <ci> c </ci> <cn type='integer'> 3 </cn> </apply> <apply> <power /> <ci> z </ci> <ci> s </ci> </apply> <apply> <ci> KelvinKer </ci> <ci> &#957; </ci> <apply> <times /> <ci> a </ci> <apply> <power /> <ci> z </ci> <ci> r </ci> </apply> </apply> </apply> </apply> <apply> <times /> <apply> <ci> Subscript </ci> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <ci> s </ci> </apply> <apply> <ci> KelvinKei </ci> <ci> &#957; </ci> <apply> <times /> <ci> a </ci> <apply> <power /> <ci> z </ci> <ci> r </ci> </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





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