Wright omega function

<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the Wright omega function or Wright function, denoted <i>ω</i>, is defined in terms of the <a href="/facts/Lambert_W_function/NG1wd71f">Lambert W function</a> as:
</p>

ω
        (
        z
        )
        =
        
          W
          
            
              
                ⌈
              
            
            
              
                
                  
                    I
                    m
                  
                  (
                  z
                  )
                  −
                  π
                
                
                  2
                  π
                
              
            
            
              
                ⌉
              
            
          
        
        (
        
          e
          
            z
          
        
        )
        .
      
    
    {\displaystyle \omega (z)=W_{{\big \lceil }{\frac {\mathrm {Im} (z)-\pi }{2\pi }}{\big \rceil }}(e^{z}).}

Wright omega function open-in-new

Wright omega function