Let pj∈N and pj≥-1,j=2,...,n be a fixed positive integer.In this paper a generalized Roper-Suffridge extension operator F(z)={f(Z1)+f'(z1)}on Reinhardt domain is defined.Some different conditions for Pj areestab...Let pj∈N and pj≥-1,j=2,...,n be a fixed positive integer.In this paper a generalized Roper-Suffridge extension operator F(z)={f(Z1)+f'(z1)}on Reinhardt domain is defined.Some different conditions for Pj areestablished under which the operator preserves an almost spirallike mapping of type fl and order a and spirallike mapping of typeβand orderα,respectively.In particular,our results reduce to many well-known results.展开更多
文摘Let pj∈N and pj≥-1,j=2,...,n be a fixed positive integer.In this paper a generalized Roper-Suffridge extension operator F(z)={f(Z1)+f'(z1)}on Reinhardt domain is defined.Some different conditions for Pj areestablished under which the operator preserves an almost spirallike mapping of type fl and order a and spirallike mapping of typeβand orderα,respectively.In particular,our results reduce to many well-known results.
