Some families of analytic functions with negative coefficients
Some families of -valent functions with negative coefficients.
Some Further Results on a Question of Yi
Some further results on meromorphic functions that share two sets
This paper concerns the uniqueness of meromorphic functions and shows that there exists a set S ⊂ ℂ of eight elements such that any two nonconstant meromorphic functions f and g in the open complex plane ℂ satisfying and Ē(∞,f) = Ē(∞,g) are identical, which improves a result of H. X. Yi. Also, some other related results are obtained, which generalize the results of G. Frank, E. Mues, M. Reinders, C. C. Yang, H. X. Yi, P. Li, M. L. Fang and H. Guo, and others.
Some gap power series in multidimensional setting
We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
Some generalized convolution properties associated with certain subclasses of analytic functions.
Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc
MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion). The aim of this paper is to give the growth and distortion theorems for the close-to-convex harmonic functions in the open unit disc D.
Some Hilbert spaces related with the Dirichlet space
We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
Some Hölder-logarithmic estimates on Hardy-Sobolev spaces
We prove some optimal estimates of Hölder-logarithmic type in the Hardy-Sobolev spaces , where , and is either the open unit disk or the annular domain , of the complex space . More precisely, we study the behavior on the interior of of any function belonging to the unit ball of the Hardy-Sobolev spaces from its behavior on any open connected subset of the boundary of with respect to the -norm. Our results can be viewed as an improvement and generalization of those established...
Some homeomorphisms of the sphere conformal off a curve.
Some inclusion relationships for certain subclasses of meromorphic functions associated with a family of integral operators.
Some Inequaliteis for Starklike Functions.
Some inequalities associated with a linear operator defined for a class of analytic functions.
Some inequalities associated with a linear operator defined for a class of multivalent functions.
Some inequalities concerning starlike and convex function.
Some inequalities exhibiting certain properties of some subclasses of multivalently analytic functions.
Some Inequalities for Analytic Functions with a Finite Dirichlet Integral on the Unit Disc.
Some inequalities for convex, starlike, and close-to-convex mappings
Some inequalities for maximum modules of polynomials.
Some inequalities for regular and univalent functions