The Generalized (s,t)-Matrix Sequence s Binomial Transforms

In this study, the binomial transform has been applied to the generalized (s, t)-matrix sequence {R sub n /sub (s, t)} sub n∈... /sub , (s, t)-Fibonacci {F sub n /sub (s, t)} sub n∈... /sub and (s, t)-Lucas {L sub n /sub (s, t)} sub n∈... /sub matrix sequence. Moreover, using recurrence relations, the generating functions have been founded for these transforms. Finally, the relation between these transforms has been illustrated by deriving new formulas.