56 citations
- Indian Statistical InstituteIN17 papers
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21 papers
Computation of Trusted Short Weierstrass Elliptic Curves for Cryptography
Kunal Abhishek, E. George Dharma Prakash Raj
Short Weierstrass's elliptic curves with underlying hard Elliptic Curve Discrete Logarithm Problems was widely used in Cryptographic applications. This paper introduces a new secur…
Evaluation of Computational Approaches of Short Weierstrass Elliptic Curves for Cryptography
Kunal Abhishek, E. George Dharma Prakash Raj
The survey presents the evolution of Short Weierstrass elliptic curves after their introduction in cryptography. Subsequently, this evolution resulted in the establishment of prese…
Logarithmic Coefficients and a Coefficient Conjecture for Univalent Functions
M. Obradović, S. Ponnusamy, K. -J. Wirths
Let denote the family of analytic functions , , in the unit disk $\ID$, which satisfy the condition $\big |\big (z/f(z)\big )^{2}f'(z)-1\big…
On the Bohr inequality
Yusuf Abu Muhanna, Rosihan M. Ali, Saminathan Ponnusamy
The Bohr inequality, first introduced by Harald Bohr in 1914, deals with finding the largest radius , , such that holds whenever $|\su…
Discrete Analogue of Generalized Hardy Spaces and Multiplication Operators on Homogenous Trees
Perumal Muthukumar, Saminathan Ponnusamy
In this article, we define discrete analogue of generalized Hardy spaces and its separable subspace on a homogenous rooted tree and study some of its properties such as completenes…
Absolutely Convex, Uniformly Starlike and Uniformly Convex Harmonic Mappings
Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj, Victor V. Starkov
In this paper, we prove necessary and sufficient conditions for a sense-preserving harmonic function to be absolutely convex in the open unit disk. We also estimate the coefficient…