On Some Special Classes of Sonnenschein Matrices

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چکیده مقاله:

‎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}} = sumlimits_{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.

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عنوان ژورنال

دوره 5  شماره 2

صفحات  59- 64

تاریخ انتشار 2019-01-12

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