Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Young Jae Sim"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 5466-5479 (2024)
In the present paper, we investigated some conditions to be in the class of Carathéodory functions by using the concept of the first-order differential subordinations. Moreover, various interesting special cases were considered in the geometric func
Externí odkaz:
https://doaj.org/article/cc9c1f5bb3da4f9b92b0e494d4327da8
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-12 (2021)
Abstract In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that p ( 0 ) = 1 $p(0)=1$ to satisfy Re { e i β p ( z ) } > γ $\operatorname{Re}\{ {\m
Externí odkaz:
https://doaj.org/article/b19d43a2ac9249b9ba0851a6e8e3aa3b
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract Let ψ μ , ν ( z ) = ( 1 − 2 cos ν e i μ z + e 2 i μ z 2 ) − 1 $\psi_{\mu,\nu}(z)=(1-2\cos\nu e^{i\mu}z+e^{2i\mu}z^{2})^{-1}$ , μ , ν ∈ [ 0 , 2 π ) $\mu,\nu\in[0,2\pi)$ and p be an analytic mapping with Re p > 0 $\operatorname{
Externí odkaz:
https://doaj.org/article/055a1802dd66433c93398d388e457652
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-13 (2019)
Abstract The conjecture proposed by Raina and Sokòł [Hacet. J. Math. Stat. 44(6):1427–1433 (2015)] for a sharp upper bound on the fourth coefficient has been settled in this manuscript. An example is constructed to show that their conjectures for
Externí odkaz:
https://doaj.org/article/6a9933619db54c768dd1387cb0981174
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-16 (2019)
Abstract The object of the present paper is to investigate various conditions for Carathéodory functions in the open unit disk. Also we give some applications to univalent functions as special cases.
Externí odkaz:
https://doaj.org/article/907e12d4ec59482eaada33c80e31c246
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-6 (2016)
Abstract We investigate several sufficient conditions on a function to be convex in one direction or starlike in one direction.
Externí odkaz:
https://doaj.org/article/f6bbf2d300aa43ceaa3583b93b5a5d3a
Autor:
Young Jae Sim, Derek Keith Thomas
Publikováno v:
Symmetry, Vol 12, Iss 12, p 2040 (2020)
Let f be analytic in the unit disk D={z∈C:|z|<1}, and S be the subclass of normalized univalent functions with f(0)=0, and f′(0)=1. Let F be the inverse function of f, given by F(z)=ω+∑n=2∞Anωn for some |ω|≤r0(f). Let S*⊂S be the subse
Externí odkaz:
https://doaj.org/article/4597e9268b1340b0b7420fc1f4bb85f8
Autor:
Young Jae Sim, Derek K. Thomas
Publikováno v:
Mathematics, Vol 8, Iss 9, p 1521 (2020)
Let f be analytic in the unit disk D={z∈C:|z|<1}, and S be the subclass of normalized univalent functions given by f(z)=z+∑n=2∞anzn for z∈D. Let S*⊂S be the subset of starlike functions in D and C⊂S the subset of convex functions in D. We
Externí odkaz:
https://doaj.org/article/1ade1567418044cbbd6e95d138f7295e
Publikováno v:
Symmetry, Vol 12, Iss 8, p 1228 (2020)
Let f∈A, the class of normalized analytic functions defined in the unit disk D, and be given by f(z)=z+∑n=2∞anzn for z∈D. This paper presents a new approach to finding bounds for |an|. As an application, we find the sharp bound for |a5| for t
Externí odkaz:
https://doaj.org/article/b190a54d3c874fc0819144f59e3faff1
Publikováno v:
Symmetry, Vol 11, Iss 11, p 1368 (2019)
Let Σ be the class of meromorphic functions f of the form f ( ζ ) = ζ + ∑ n = 0 ∞ a n ζ − n which are analytic in Δ : = { ζ ∈ C : | ζ | > 1 } . For n ∈ N 0 : = N ∪ { 0 } , the nth Faber polynomial Φ n ( w ) of f ∈ Σ is a monic
Externí odkaz:
https://doaj.org/article/f32dbccf21ba4adba4cb96162df5b39f