Innovative Research Award

Piriyalucksan Paramesvarampillai
University of Jaffna, Sri Lanka

Piriyalucksan Paramesvarampillai is a mathematics researcher affiliated with the University of Jaffna, Sri Lanka. The research profile is associated with studies in complex analysis and computational approaches to harmonic-measure distribution and related h-functions in planar regions. The available publication record includes work on doubly connected, simply connected, and unbounded planar domains, combining theoretical analysis with computational validation methods.[1][2]

Abstract

This article presents an academic recognition profile for Piriyalucksan Paramesvarampillai in connection with the Innovative Research Award of the Global Innovation Technologist Awards. The profile highlights research concerning harmonic-measure distribution functions and the development and study of new h-functions for planar regions. The work demonstrates an interest in linking mathematical theory with computational techniques and comparative validation procedures.[1][2]

Keywords

Complex analysis; harmonic measure; planar regions; doubly connected domains; simply connected regions; unbounded domains; h-functions; computational mathematics.

Introduction

The study of planar regions and associated analytic functions remains an important area within mathematical analysis. Research on harmonic-measure distributions and related function classes can contribute to the understanding of boundary behavior, geometric properties, and computational representations of complex domains. The researcher’s published and accepted works address these themes through focused investigations of selected planar configurations.[1][3]

Research Profile

Paramesvarampillai’s research profile is situated within Mathematics, with particular attention to planar domains and function-theoretic methods. The available scholarly record indicates collaboration with A. Mahenthiram on problems involving harmonic-measure distribution functions and new h-functions. These studies examine domains with different connectivity and boundedness properties while incorporating computational or validation-oriented approaches.[1][2]

Research Contributions

• Computational investigation of harmonic-measure distribution functions for selected planar doubly connected regions.[1]
• Development and validation of new h-functions for several unbounded planar regions using different mathematical and computational methods.[2]
• Study of special features of new h-functions associated with selected simply connected planar regions.[3]

Publications

The documented publication portfolio includes research published in Annales Polonici Mathematici and the Journal of Ramanujan Mathematical Society, together with an accepted work for Acta Mathematica Vietnamica. The publications collectively address computational and theoretical features of harmonic-measure distributions and h-functions across several classes of planar regions.[1][2][3]

Research Impact

According to the supplied profile information, the researcher has 2 indexed documents, 1 citation, and an h-index of 1. These indicators represent an early measurable research record and should be interpreted alongside publication quality, methodological contribution, and the continuing development of the researcher’s scholarly work.[4]

Award Suitability

The Innovative Research Award is relevant to scholarly profiles demonstrating focused research activity, methodological development, and contributions to specialized areas of knowledge. The present profile is associated with mathematical investigations that combine analytical concepts with computational validation, providing a basis for consideration within an academic recognition framework.[5]

Conclusion

Piriyalucksan Paramesvarampillai’s research profile reflects developing scholarly activity in Mathematics, particularly in the analysis of harmonic-measure distributions and h-functions on planar regions. The documented works demonstrate continuity across doubly connected, unbounded, and simply connected domains and provide the academic context for recognition under the Innovative Research Award.[1][3]

External Links

• Scopus Author Profile
• Global Innovation Technologist Awards

References

1. Mahenthiram, A., & Piriyalucksan, P. (2025). Computing harmonic-measure distribution functions of some planar doubly connected regions. Annales Polonici Mathematici, 134(2), 187–206. DOI: 10.4064/ap240724-12-4.
   https://doi.org/10.4064/ap240724-12-4
2. Mahenthiram, A., & Piriyalucksan, P. (2026). Computing new h-functions of several unbounded planar regions and validating the h-functions via different methods. Journal of Ramanujan Mathematical Society, 41(2), 125–142.
3. Mahenthiram, A., & Piriyalucksan, P. (Accepted). Study on special features of new h-functions of some simply connected planar regions. Acta Mathematica Vietnamica.
4. Elsevier. (n.d.). Scopus author details: Piriyalucksan Paramesvarampillai, Author ID 60753559000. Scopus.
   https://www.scopus.com/pages/authors/60753559000
5. Global Innovation Technologist Awards. (n.d.). Innovative Research Award and academic recognition information.
   innovationtechnologist.com