56 citations · 367 across the 127 of their papers we have counts for
10 papers · 1 filter
Distortion and covering theorems of pluriharmonic mappings
Sh. Chen, S. Ponnusamy
In this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.
Turán type inequalities for confluent hypergeometric functions of the second kind
Árpád Baricz, Saminathan Ponnusamy, Sanjeev Singh
In this paper we deduce some tight Turán type inequalities for Tricomi confluent hypergeometric functions of the second kind, which in some cases improve the existing results in th…
Lipschitz type spaces and Landau-Bloch type theorems for harmonic functions and Poisson equations
Sh. Chen, M. Mateljević, S. Ponnusamy +1
In this paper, we investigate some properties on harmonic functions and solutions to Poisson equations. First, we will discuss the Lipschitz type spaces on harmonic functions. Seco…
Maximal area integral problem for certain class of univalent analytic functions
Saminathan Ponnusamy, Swadesh Kumar Sahoo, Navneet Lal Sharma
One of the classical problems concerns the class of analytic functions on the open unit disk which have finite Dirichlet integral , where $$Δ(r,f)=\iint_{|z|<r}…
Modified Dini functions: monotonicity patterns and functional inequalities
Á. Baricz, S. Ponnusamy, S. Singh
We deduce some new functional inequalities, like Turán type inequalities, Redheffer type inequalities, and a Mittag-Leffler expansion for a special combination of modified Bessel f…
Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings
Shaolin Chen, Saminathan Ponnusamy, Antti Rasila +1
In this paper, we first establish the Schwarz-Pick lemma of higher-order and apply it to obtain a univalency criteria for planar harmonic mappings. Then we discuss distortion theor…