Open Journal of Mathematical Sciences
Vol. 7 (2023), Issue 1, pp. 17-24
ISSN: 2523-0212 (Online) 2616-4906 (Print)
DOI: 10.30538/oms2024.0221
Existence and convergence of gamma matrices and their application to infinite series
Suresh Kumar Sahani\(^{1,*}\), A.K. Thakur\(^{2}\), Avinash Kumar\(^{2}\) and K. Sharma\(^{3}\)
\(^{1}\) Department of Mathematics, MIT Campus, (T.U.), Janakpurdham, Nepal.
\(^{2}\) Department of Mathematics, Dr. C.V. Raman University, Bilaspur (C.G.)
\(^{3}\) Department of Mathematics,VIT ,Vellore,India
Copyright © 2024 Suresh Kumar Sahani, A.K. Thakur, Avinash Kumar and K. Sharma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: June 18, 2023 – Accepted: February 2, 2024 – Published: May 15, 2024
Abstract
This study introduces theorems concerning matrix products, which delineate the transformations of sequences or series into other sequences or series, ensuring either the preservation of limits or the guarantee of convergence. Previous literature has explored the properties of matrices facilitating transformations between sequences, series, and their combinations, with detailed insights available in references [1,2,3].
Keywords:
Infinite series; matrices; convergence; sequence-to-sequence