Table of Content
Kwara Nantomah
Open AccessArticleA K-analogue of the Lambda Gamma Function and its Properties
Sunday Sandow*, Kwara Nantomah and Mohammed Muniru Iddrisu
Annals of Communications in Mathematics 2025,
8 (2),
209-224
DOI: https://doi.org/10.62072/acm.2025.080206
AbstractThis paper establishes a k-analogue of the lambda gamma function and in troduces a k-Riemann zeta function and a k-lambda Riemann zeta function. In addition, the paper establishes a relationship between the k-analogue of the lambda gamma function, the k-Riemann zeta function and the k-lambda Riemann zeta function. Finally, the paper establishes some properties of the k-analogue of the lambda gamma function similar to existing properties satisfied by the classical gamma function, the k-analogue of the gamma function and the lambda gamma function.
Open AccessArticleCorrection of a Proof of an Inequality Involving the Polygamma Function
Kwara Nantomah
Annals of Communications in Mathematics 2026,
9(1),
16
DOI: https://doi.org/10.62072/acm.2026.09016
Abstract:The proof of Lemma 5 in the paper ”Corrigendum to A Harmonic Mean Inequality for the Polygamma Function” [Math. Inequal. Appl., 27(2)(2024), 273-274] contains an error. The purpose of this paper is to correct the error.
Open AccessArticleGeneralization of an Inequality by Laforgia and Natalini
Kwara Nantomah
Annals of Communications in Mathematics 2026,
9(3),
8
DOI: https://doi.org/10.62072/acm.2026.09040
Abstract:In this short paper, we establish a generalization of an inequality involving the Rieman zeta function. The inequality was established by Laforgia and Natalini in 2006 and subsequently improved by other researchers. The main tools used to prove our results are the logarithmic convexity property of the Riemann zeta function and monotonicity properties of certain functions containing the Riemann zeta function.