One-Parameter Families of Conformal Mappings of the Half-Plane onto Polygonal Domains with Several Slits

Among various methods of finding accessory parameters in the Schwarz–Christoffel integrals, Kufarev’s method, based on Loewner differential equation, plays an important role. It is used for describing one-parameter families functions that conformally map a canonical domain onto polygon with slit endpoint which moves along polygonal line starting from boundary point. We present modification method case several slits, lengths have depend each other certain way. justify and find system ODEs dynamics parameters. also results numerical calculations confirm efficiency our method.