By the Plemelj formula and the compressed fixed point theorem,this paper discusses a kind of boundary value problem for hypermonogenic function vectors in Clifford analysis.And the paper proves the existence and uniqu...By the Plemelj formula and the compressed fixed point theorem,this paper discusses a kind of boundary value problem for hypermonogenic function vectors in Clifford analysis.And the paper proves the existence and uniqueness of the solution to the boundary value problem for hypermonogenic function vectors in Clifford analysis.展开更多
This paper is mainly about holomorphic mappings associated with conic regions which are closely connected with k-ST(α).We introduce new subclasses of starlike(spirallike)functions,namely,S^(p)_(c)(k,α)(S^(p)_(c)(k,...This paper is mainly about holomorphic mappings associated with conic regions which are closely connected with k-ST(α).We introduce new subclasses of starlike(spirallike)functions,namely,S^(p)_(c)(k,α)(S^(p)_(c)(k,α,β)),and discuss their coefficient estimates and the Fekete–Szego–Goluzin’s problem.Then we generalize S^(p)_(c)(k,α,β)on the unit ball B^(n) in C^(n),that is,k-conic spirallike mappings of typeβand orderα.We obtain the growth,covering and distortion theorems of the generalized mappings.Besides that,we construct k-conic spirallike mappings of typeβand orderαon B^(n) through S_(c)(k,α,β)by the generalized Roper-Suffridge extension operators.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No.10801043)the Natural Science Foundation of Hebei Province (Grant No.A2010000346)the Foundation of Hebei Normal University (GrantNo.L200902)
文摘By the Plemelj formula and the compressed fixed point theorem,this paper discusses a kind of boundary value problem for hypermonogenic function vectors in Clifford analysis.And the paper proves the existence and uniqueness of the solution to the boundary value problem for hypermonogenic function vectors in Clifford analysis.
基金Supported by NSF of China(Grant Nos.11571089,11871191)Science and Technology Research Projects of He’nan Provincial Education Department(Grant No.17A110041)+1 种基金the key Foundation of Hebei Normal University(Grant No.L2018Z01)Scientific Research Fund of High Level Talents of Zhoukou Normal University(Grant No.ZKNUC2019004)。
文摘This paper is mainly about holomorphic mappings associated with conic regions which are closely connected with k-ST(α).We introduce new subclasses of starlike(spirallike)functions,namely,S^(p)_(c)(k,α)(S^(p)_(c)(k,α,β)),and discuss their coefficient estimates and the Fekete–Szego–Goluzin’s problem.Then we generalize S^(p)_(c)(k,α,β)on the unit ball B^(n) in C^(n),that is,k-conic spirallike mappings of typeβand orderα.We obtain the growth,covering and distortion theorems of the generalized mappings.Besides that,we construct k-conic spirallike mappings of typeβand orderαon B^(n) through S_(c)(k,α,β)by the generalized Roper-Suffridge extension operators.
