supported by the Grant No.20-16367/NRPU/RD/HEC/20212021。
Let q_(λ)(z)=1+λsinh(ζ),0<λ<1/sinh(1)be a non-vanishing analytic function in the open unit disk.We introduce a subclass S^(*)(q_(λ))of starlike functions which contains the functions f such that zf'/f is subordin...
the NNSF of China(11671362,11971165);Beijing Municipal Natural Science Foundation(1182008);the Scientific Research Funds of Huaqiao University.
This article is devoted to a deep study of the Roper-Suffridge extension operator with special geometric properties.First,we prove that the Roper-Suffridge extension operator preservesϵstarlikeness on the open unit ba...
the Youth Science Fund Research Project of Pingxiang University(Grant Nos.2019D0202,2018D0218,2018D0208);the Youth Fund Project of Science and Technology Research Project of Jiangxi Provincial Department of Education(Grant No.GJJ191157)。
The aim of the present paper is to investigate some sufficient conditions for starlikeness and convexity of two new operatorsεα,λ^γand Hm^l(α1)related to the generalized Mittag-Leffler function Eα,λ^γand the g...
For α 〉 0, λ 〉 0 and β,η∈R, we consider the M(α,λ)b of normalized analyticα — λ convex functions defined in the open unit disc U. In this paper we investigate the class M(α, λ,β,η)b,with fb := z/...
In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk . For functions in this class Hαk (p,λ;h) we estimate the coefficients. Furthermore, some subordinatio...
In this paper we derive certain sufficient conditions for starlikeness and convexity of order α of meromorphically multivalent functions in the punctured unit disk.
Supported by the Natural Science Foundation of Jiangsu Education Department(06KJD110003)
Let An(p)(p,n ∈ N = {1,2,3,...}) denote the class of functions of the form f(z) = zp +ap+nzp+n +...which are analytic in the unit disk E = {z:|z| < 1}.A function f(z) in A(p) is said to be in the class Sp(a,b) if it ...
In this paper the authors study (1-γ+zf(?)(z)/f'(z))/(zf'(z)/f(z)) as a criteria for starlikeness and convexity. Sharp upper bound of |α2| and of the Fekete-Szego functional |α3-μα22| is given for a class of anal...