conformally. Recently, the function \(P_{\alpha ,\beta }(z)\)  has been studied by many works, see for example [1]}, [2]}, [3]}, [4]}, [5]}, [6]}.

конформно. Недавно функция \(P_{\alpha ,\beta }(z)\) была изучена во многих работах, см. например [1], [2], [3], [4], [5], [6].