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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/07.41.13.0009.01









  


  










Input Form





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










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