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20082026
most citedOn the Bohr inequality

56 citations · 367 across the 127 of their papers we have counts for

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Showing 2010Show all

8 papers · 1 filter

math.CV2010★ 9 cited

On the Fekete-Szegö problem for concave univalent functions

B. Bhowmik, S. Ponnusamy, K-J. Wirths

We consider the Fekete-Szegö problem with real parameter for the class of concave univalent functions.

math.CA2010

On Turán type inequalities for modified Bessel functions

Árpád Baricz, Saminathan Ponnusamy

In this note our aim is to point out that certain inequalities for modified Bessel functions of the first and second kind, deduced recently by Laforgia and Natalini, are in fact eq…

math.CA2010★ 24 cited

Functional inequalities for modified Bessel functions

Árpád Baricz, Saminathan Ponnusamy, Matti Vuorinen

In this paper our aim is to show some mean value inequalities for the modified Bessel functions of the first and second kinds. Our proofs are based on some bounds for the logarithm…

math.CV2010

On some problems of James Miller

B. Bhowmik, S. Ponnusamy, K-J. Wirths

We consider the class of meromorphic univalent functions having a simple pole at and that map the unit disc onto the exterior of a domain which is starlike with respect…

math.CV2010

Characterization and the pre-Schwarzian norm estimate for concave univalent functions

B. Bhowmik, S. Ponnusamy, K-J. Wirths

Let denote the class of concave univalent functions in the unit disk $\ID$. Each function maps the unit disk $\ID$ onto the complement of an unbounded convex s…

math.CV2010

Coefficient Inequalities for Concave and Meromorphically Starlike Univalent Functions

Bappaditya Bhowmik, Saminathan Ponnusamy

Let $\ID$ denote the open unit disk and $f:\,\ID\TO\BAR\IC$ be meromorphic and univalent in $\ID$ with the simple pole at and satisfying the standard normalization $f(…