BIGAUSSIAN MERSENNE AND MERSENNE LUCAS POLYNOMIALS
By
D. Maheswari1 and S.Devibala2
1Research Scholar, School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India-625021
2Associate Professor, Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai, Tamil Nadu, India.
Email: matmahes@gmail.com, devibala27@yahoo.com
(Received : April 21, 2025; Revised: June 23, 2025; Accepted: June 26, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55130
Abstract
In this paper, we introduce BiGaussian Mersenne and Mersenne-Lucas polynomials. We give Binet’s formulas and generating functions for this polynomial and we verify some well known identities for the same. Also we define NegabiGaussian Mersenne and Mersenne-Lucas polynomials. Finally we present some properties among them.
2020 Mathematical Sciences Classification: 11B99, 11R52
Keywords and Phrases: BiGaussian polynomial, Mersenne and Mersenne-Lucas polynomials, Binet’s formula, Generating function.