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Wright Omega function
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Wright Omega function : ウィキペディア英語版
Wright Omega function

In mathematics, the Wright omega function or Wright function,〔Not to be confused with the Fox–Wright function, also known as Wright function.〕 denoted ω, is defined in terms of the Lambert W function as:
: \omega(z) = W_ \big \rceil}(e^z).
==Uses==
One of the main applications of this function is in the resolution of the equation ''z'' = ln(''z''), as the only solution is given by ''z'' = ''e''−ω(''π'' ''i'').
''y'' = ω(''z'') is the unique solution, when z \neq x \pm i \pi for ''x'' ≤ −1, of the equation ''y'' + ln(''y'') = ''z''. Except on those two rays, the Wright omega function is continuous, even analytic.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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