English

Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers

General Mathematics 2024-08-02 v3

Abstract

We define the deformed (s,t)(s,t)-binomial formula and the deformed Newton (s,t)(s,t)-binomial series, and we will use it to establish the generating functions of the generalized central binomial coefficients and the generalized Catalan numbers.

Keywords

Cite

@article{arxiv.2306.07431,
  title  = {Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers},
  author = {Ronald Orozco López},
  journal= {arXiv preprint arXiv:2306.07431},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2211.04450