The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence

Abstract

In this study, we investigate a generalization of the modified Pell sequence, which is called $(s,t)$-modified Pell sequence. By considering this sequence, we define the matrix sequence whose elements are $(s,t)$-modified Pell numbers. Furthermore, we define various binomial transforms for modified $ (s,t)$-Pell matrix sequence. Finally, we give some relationships for $(s,t)$-modified Pell matrix sequences such as Binet formulas, the generating functions, and some sum formulas.

Keywords

• binet formula
• binomial transforms
• generating function
• modified (s
• t)-pell sequence
• binet formula
• binomial transforms
• generating function
• modified (s
• t)-pell sequence