- Gazi University Journal of Science
- Vol: 28 Issue: 2
- ???? −Bernoulli Matrices and Their Some Properties
???? −Bernoulli Matrices and Their Some Properties
Authors : Naim Tuglu, Semra Kuş
Pages : 269-273
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Publication Date : 2015-06-22
Article Type : Research
Abstract :In this study, we define ???? −Bernoulli matrix B( ) q and ???? −Bernoulli polynomial matrix B( , ) x q by using ???? −Bernoulli numbers, and polynomials respectively. We obtain some properties of B( ) q and B( , ) x q . We obtain factorizations ???? −Bernoulli polynomial matrix and shifted ???? −Bernoulli matrix using special matrices.Keywords : ???? −Bernoulli numbers, ???? −Bernoulli matrix, ???? −Vandermonde matrix