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ParabolicCylinderD




Mathematica Notation

Traditional Notation









Hypergeometric Functions > ParabolicCylinderD[nu,z] > Differential equations > Ordinary linear differential equations and wronskians





http://functions.wolfram.com/07.41.13.0007.01









  


  








Input Form





Derivative[2][w][z] - ((-1 + r + 2 s)/z) Derivative[1][w][z] + ((s (r + s))/z^2 + (1/4) a^2 r^2 z^(-2 + 2 r) (2 - a^2 z^(2 r) + 4 \[Nu])) w[z] == 0 /; w[z] == Subscript[c, 1] z^s ParabolicCylinderD[\[Nu], a z^r] + Subscript[c, 2] z^s ParabolicCylinderD[-\[Nu] - 1, I a z^r]








Standard Form





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MathML Form







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Rule Form





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





2007-05-02