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Can I read Loewner chains associated with the generalized Roper–Suffridge extension operator on some domains on EtoBox?
Loewner chains associated with the generalized Roper–Suffridge extension operator on some domains by Yu-Can Zhu; Ming-Sheng Liu is a Mathematics article available to read on EtoBox.
What is Loewner chains associated with the generalized Roper–Suffridge extension operator on some domains about?
In this paper, we consider the generalized Roper-Suffridge extension operator defined by ..,p n , where 0 β j 1, 0 γ j 1β j , p j > 1, and we choose the branch of the power functions such that ( f (z 1 ) z 1 ) We prove that the set Φ n,β 2 ,γ 2 ,...,β n ,γ n (S(U )) can be embedded in Loewner chains and give the answer to the problem of Liu Taishun. We also obtain that the operator Φ n,β 2 ,γ 2 ,...,β n ,γ n (f ) preserves starlikeness or spirallikeness of type α on Ω p 1 ,p 2 ,...,p n for some suitable constants β j , γ j , where S(U ) is the class of all univalent analytic functions on the unit disc U in the complex plane C with f (0) = 0 and f (0) = 1.
Who reads Loewner chains associated with the generalized Roper–Suffridge extension operator on some domains?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Yu-Can Zhu; Ming-Sheng Liu
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)