@article{article_1663312, title={On the Francois Polynomials and Hybrinomials}, journal={Konuralp Journal of Mathematics}, volume={13}, pages={117–124}, year={2025}, author={Mersin, Efruz Özlem}, keywords={Binet formula, Catalan identity, d’Ocagne identity, Francois hybrinomials, Francois polynomials, Generating function}, abstract={This paper introduces the Francois polynomials and Francois hybrinomials, which are generalized forms of the Francois numbers and Francois hybrid numbers, respectively. We explore their recurrence relations, summation formulas, generating functions, and Binet-type formulas. Moreover, we derive the Catalan, Cassini, and d’Ocagne identities for these polynomials and hybrinomials.}, number={2}, publisher={Mehmet Zeki SARIKAYA}