ON GENERALIZED CESARO-BASED APOSTOL TYPE SPECIAL POLYNOMIALS
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, cilt.119, sa.133, ss.49-60, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 119 Sayı: 133
- Basım Tarihi: 2026
- Doi Numarası: 10.2298/pim2633049o
- Dergi Adı: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Central & Eastern European Academic Source (CEEAS), MathSciNet, zbMATH, Academic Search Ultimate (EBSCO)
- Sayfa Sayıları: ss.49-60
- Gazi Üniversitesi Adresli: Evet
Özet
We define a new and generalized family of polynomials based on a Ces & agrave;ro-type generating function. This new class, called the generalized Ces & agrave;ro-based special polynomials, includes several well-known families such as Bernoulli, Euler, and Genocchi polynomials as special cases. Although these classical polynomials are well studied, we provide new definitions for their Ces & agrave;ro-based versions by using our general formulation. The generating function involves multiple parameters, allowing a wide range of flexibility and generalization. We study important properties of these polynomials, including recurrence relations, addition formulas, and generating function identities. Our results offer a unified approach to classical special polynomials and open new directions for further research in number theory, combinatorics, and approximation theory.