Notes on various binomial transforms of generalized pell matrix sequence

Authors

  • Sukran Uygun * Department of Mathematics, Science and Art Faculty, Gaziantep University, Campus, 27310, Gaziantep, Turkey.
  • Ozan Haklıdır Department of Mathematics, Science and Art Faculty, Gaziantep University, Campus, 27310, Gaziantep, Turkey.

https://doi.org/10.48313/uda.v2i1.35

Abstract

The main target of this study is to apply the binomial transform to the generalized Pell sequence. We define the binomial, s-binomial, rising, and falling transforms for generalized Pell matrix sequence. We establish some algebraic properties such as the recurrent formulas, Binet formu- las, generating functions, sum formulas etc... for generalized Pell matrix sequence.

Keywords:

Binet formula, Binomial transforms, Generating function, Matrix sequences, Pell numbers

References

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Published

2025-03-19

Issue

Vol. 2 No. 1 (2025): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Uygun, S. ., & Haklıdır, O. . (2025). Notes on various binomial transforms of generalized pell matrix sequence. Uncertainty Discourse and Applications, 2(1), 32-44. https://doi.org/10.48313/uda.v2i1.35