“Weber Differential Equations”的概念、定义、习题解题方法及翻译-数学辞典

单词

Weber Differential Equations

释义

Weber Differential Equations

Consider the differential equation satisfied by

(1)

where

is a Whittaker Function.

(2)

(3)

This is usually rewritten

(4)

The solutions are Parabolic Cylinder Functions.

The equations

(5)

(6)

which arise by separating variables in Laplace's Equation in Parabolic Cylindrical Coordinates, are alsoknown as the Weber differential equations. As above, the solutions are known as Parabolic Cylinder Functions.

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