56 citations · 367 across the 127 of their papers we have counts for
6 papers · 2 filters
On harmonic combination of univalent functions
M. Obradović, S. Ponnusamy
Let be the class of all functions that are analytic and univalent in the unit disk $\ID$ with the normalization . Let denote th…
Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in
SH. Chen, S. Ponnusamy, X. Wang
In this paper, we first establish a Schwarz-Pick type theorem for pluriharmonic mappings and then we apply it to discuss the equivalent norms on Lipschitz-type spaces. Finally, we…
Landau-Bloch constants for functions in -Bloch spaces and Hardy spaces
SH. Chen, S. Ponnusamy, X. Wang
In this paper, we obtain a sharp distortion theorem for a class of functions in -Bloch spaces, and as an application of it, we establish the corresponding Landau's theorem. Thes…
Coefficient Conditions for Harmonic Univalent Mappings and Hypergeometric Mappings
S. V. Bharanedhar, S. Ponnusamy
In this paper, we obtain coefficient criteria for a normalized harmonic function defined in the unit disk to be close-to-convex and fully starlike, respectively. Using these coeffi…
Radius of Close-to-convexity of Harmonic Functions
David Kalaj, Saminathan Ponnusamy, Matti Vuorinen
Let denote the class of all normalized complex-valued harmonic functions in the unit disk , and let denote the harmonic Koeb…
Bi-Harmonic mappings and J. C. C. Nitsche type conjecture
David Kalaj, Saminathan Ponnusamy
In this note it is formulated the J. C. C. Nitsche type conjecture for bi-harmonic mappings. The conjecture has been motivated by the radial bi-harmonic mappings between annuli.