In this article, we consider a class of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters. Further, we obtain bounds on preSchwarzian derivatives and bounds on the Bloch’s constant. Finally, we obtain coefficient bounds, growth and distortion results
AbstractThe harmonic function in the open unit disc D={z∈C||z|<1} can be written as a sum of an anal...
© 2018, Springer International Publishing AG, part of Springer Nature. In this article we obtain two...
For $-1\leq B<A\leq 1$, let $\mathcal{C}(A,B)$ denote the class of normalized Janowski convex functi...
MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functi...
In this article, we prove a two-points distortion theorem and obtain sharp coefficient estimates fo...
Abstract. In 1984, Clunie and Sheil-Small proved that a sense-preserving harmonic function whose ana...
AbstractThe main purpose of this paper is to establish some connections between certain classes of h...
AbstractWe give sufficient coefficient conditions for normalized harmonic functions to map onto eith...
AbstractIn this work, we introduce and investigate an interesting subclass Ks(h) of analytic and clo...
© 2018, Springer International Publishing AG, part of Springer Nature. In this article we obtain two...
AbstractTwo new subclasses of harmonic univalent functions defined by convolution are introduced. Th...
AbstractThe Schwarz lemma and Bloch constants for planar bounded harmonic mappings are considered. S...
summary:Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harm...
summary:Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harm...
Let $\mathcal{A}$ denote the class of analytic functions $f$ in the unit disk $\mathbb{D}=\{z\in\mat...
AbstractThe harmonic function in the open unit disc D={z∈C||z|<1} can be written as a sum of an anal...
© 2018, Springer International Publishing AG, part of Springer Nature. In this article we obtain two...
For $-1\leq B<A\leq 1$, let $\mathcal{C}(A,B)$ denote the class of normalized Janowski convex functi...
MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functi...
In this article, we prove a two-points distortion theorem and obtain sharp coefficient estimates fo...
Abstract. In 1984, Clunie and Sheil-Small proved that a sense-preserving harmonic function whose ana...
AbstractThe main purpose of this paper is to establish some connections between certain classes of h...
AbstractWe give sufficient coefficient conditions for normalized harmonic functions to map onto eith...
AbstractIn this work, we introduce and investigate an interesting subclass Ks(h) of analytic and clo...
© 2018, Springer International Publishing AG, part of Springer Nature. In this article we obtain two...
AbstractTwo new subclasses of harmonic univalent functions defined by convolution are introduced. Th...
AbstractThe Schwarz lemma and Bloch constants for planar bounded harmonic mappings are considered. S...
summary:Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harm...
summary:Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harm...
Let $\mathcal{A}$ denote the class of analytic functions $f$ in the unit disk $\mathbb{D}=\{z\in\mat...
AbstractThe harmonic function in the open unit disc D={z∈C||z|<1} can be written as a sum of an anal...
© 2018, Springer International Publishing AG, part of Springer Nature. In this article we obtain two...
For $-1\leq B<A\leq 1$, let $\mathcal{C}(A,B)$ denote the class of normalized Janowski convex functi...