3 papers
math.CV2018
Riesz-Fejér inequalities for harmonic functions
Ilgiz R Kayumov, Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj
In this article, we prove the Riesz - Fejér inequality for complex-valued harmonic functions in the harmonic Hardy space for all . The result is sharp for $p \in…
math.CV2018
Injectivity of sections of close-to-convex harmonic mappings with convex analytic part
Anbareeswaran Sairam Kaliraj
In this article, we determine two point distortion theorem and sharp coefficient estimates for the families of close-to-convex harmonic mappings whose analytic part is a convex fun…
math.CV2017
Coefficients of univalent harmonic mappings
Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj, Victor V. Starkov
Let denote the class of all functions that are sense-preserving, harmo…