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Dergiler / Konuralp Journal of Mathematics / 2025 / Volume: 13 Issue: 2

On the Francois Polynomials and Hybrinomials

Efruz Özlem Mersin(AKSARAY ÜNİVERSİTESİ)0000-0001-6260-9063
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Yayın Tarihi
2025-10-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we derive the Catalan, Cassini, and d'Ocagne identities for these polynomials and hybrinomials.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper introduces the Francois polynomials and Francois hybrinomials, which are generalized forms of the Francois numbers and Francois hybrid numbers, respectively.
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Temel Bulgular & Veri:We explore their recurrence relations, summation formulas, generating functions, and Binet-type formulas.
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Sonuç & Katkı:Moreover, we derive the Catalan, Cassini, and d'Ocagne identities for these polynomials and hybrinomials.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Binet formula · Catalan identity · d'Ocagne identity

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.

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Bu Makaleye Atıf Yap

Mersin, E. Ö. (2025). On the Francois Polynomials and Hybrinomials. Konuralp Journal of Mathematics, Volume: 13 Issue: 2. https://ajindex.com/articles/1521449

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