???? −Bernoulli Matrices and Their Some Properties

Authors : Naim TUGLU, Semra KUŞ

Pages : 269-273

View : 16 | Download : 9

Publication Date : 2015-06-22

Article Type : Research Paper

Abstract :In this study, we define ???? −Bernoulli matrix Binsert ignore into journalissuearticles values( ); q and ???? −Bernoulli polynomial matrix Binsert ignore into journalissuearticles values( , ); x q by using ???? −Bernoulli numbers, and polynomials respectively. We obtain some properties of Binsert ignore into journalissuearticles values( ); q and Binsert ignore into journalissuearticles values( , ); x q . We obtain factorizations ???? −Bernoulli polynomial matrix and shifted ???? −Bernoulli matrix using special matrices.
Keywords : Bernoulli numbers, Bernoulli matrix, Vandermonde matrix