A note on Sonnenschein summability matrices
Volume 10, Issue 1, 2023, Pages 65-67
https://doi.org/10.22072/wala.2023.1988431.1407
Gholamreza Talebi, Masoud Aminizadeh
Abstract In this note, we give a simple method for computing the column sums of the Sonnenschein summability matrices.
On Some Special Classes of Sonnenschein Matrices
Volume 5, Issue 2, 2018, Pages 59-64
https://doi.org/10.22072/wala.2018.92609.1193
Masod Aminizadeh, Gholamreza Talebi
Abstract In this paper we consider the special classes of Sonnenschein matrices, namely the Karamata matrices $K[\alpha,\beta]=\left(a_{n,k}\right)$ with the entries
\[{a_{n,k}} = \sum\limits_{v = 0}^k {\left( \begin{array}{l}
n\\
v
\end{array} \right){{\left( {1 - \alpha - \beta } \right)}^v}{\alpha ^{n - v}}\left( \begin{array}{l}
n + k - v - 1\\
\,\,\,\,\,\,\,\,\,\,k - v
\end{array} \right)
{\beta ^{k - v}}},\] and calculate their row and column sums and give some applications of these sums.