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Supported by National Natural Science Foundation of China(Nos.11971274,12061074,11671344).
We introduce the notion of a quadratic graph,which is a graph whose eigenvalues are integral or quadratic algebraic integral,and we determine nine infinite families of quadratic starlike trees,which are just all the q...
Supported by the National Natural Science Foundation of China(Grant No.11871215)。
Let S(p)be the class of all univalent meromorphic functions f on the unit disk D with a simple pole at p∈(0,1).Forα∈[0,1),we denote byΣ^(*)(p,ω_(0),α)the class of f∈E S(p)such that C\f(D)is a starlike domain of...
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...
In this paper, we investigated the coefficient estimates and the Fekete-Szegö?problem for the subclass of analytic univalent functions involving the linear transformation Dsα,β,γf for the normalized analytic f...
the National Natural Science Foundation of China(Grant Nos.11871257,11971165).
We mainly establish the distortion theorems of Jacobi determinant for three subclasses of starlike mappings on Bpn,where Bp={z=(z1,……,zn)T∈Cn:∑nl=1|zl|p<1}p>1.In particular,the above distortion theorems are sharp ...
By applying the q-derivative, we introduce two new subclasses of p-valent functions with positive coefficients. By means of the well-known Jack’s lemma, some inequalities related to starlike, convex and close-to-conv...
The NSF(11561001)of China;the NSF(2014MS0101)of Inner Mongolia Province;the Higher School Foundation(NJZY19211)of Inner Mongolia of China;the NSF(KJ2018A0839,KJ2018A0833)of Anhui Provincial Department of Education
Denote S to be the class of functions which are analytic,normalized and univalent in the open unit disk U={z:|z|<1}.The important subclasses of S are the class of starlike and convex functions,which we denote by S and...
supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge,University of Rzeszów
In the paper we introduce an idea of harmonic functions with correlated coefficients which generalize the ideas of harmonic functions with negative coefficients introduced by Silverman and harmonic functions with vary...
Supported by the National Natural Science Foundation of China(Grant Nos.11561001; 11271045);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14);the Natural Science Foundation of Inner Mongolia(Grant No.2018MS01026);the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY16251; NJZY17300; NJZY17301; NJZY18217);the Natural Science Foundation of Chifeng
In this article, we study several majorizaton properties for the subclasses SL~*,SR~*(a, b), BS~*(α), S_c~*, S_q~* and S_R~* of starlike functions. Meanwhile, some special cases of our main results are given.
The NSF(KJ2015A372)of Anhui Provincial Department of Education
By using the hypergeometric function defined by the Dziok-Srivastava operator, a new subclass of meromorphic function is introdued. We obtain Fekete-Szeg? inequalities for the meromorphic function f(z) for which α-(1...