Balancing-like Polynomials

---

Tekeoğlu Akkaya B., Özkan E.

8th International Conference on Advances in Natural and Applied Sciences, Antalya, Türkiye, 28 - 31 Ekim 2025, ss.173, (Özet Bildiri)

• Yayın Türü: Bildiri / Özet Bildiri
• Basıldığı Şehir: Antalya
• Basıldığı Ülke: Türkiye
• Sayfa Sayıları: ss.173
• Marmara Üniversitesi Adresli: Evet

Özet

In this work, we first focus on k-balancing numbers, regarded as a generalization of

classical balancing numbers. Subsequently, we investigate balancing polynomials, which

arise as a natural extension of k-balancing numbers. Furthermore, we study k-balancing-like polynomials, derived from the notion of k-balancing-like numbers. A variety of

structural properties of these polynomial families are established; for instance, we provide

matrix representations of the polynomials and derive well-known identities such as those

of Catalan and Cassini. In addition, we introduce and analyze the derivatives of these

polynomials.