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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 54 Issue: 2

On arithmetical properties of degenerate Cauchy polynomials and numbers

Mehmet Cenkci(AKDENIZ UNIVERSITY)0000-0002-2867-3448
Takao Komatsu(Henan Academy of Sciences)0000-0001-6204-5368
Sayfa
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Yayın Tarihi
2025-04-28
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

These results are particularly useful to deduce interesting and new divisibility properties for degenerate Cauchy polynomials and numbers.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we study the arithmetical properties of degenerate Cauchy polynomials and numbers.
📊
Temel Bulgular & Veri:We present some basic properties and recurrence relations, determine all the coefficients of degenerate Cauchy polynomials, and give some convolution identities.
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Sonuç & Katkı:These results are particularly useful to deduce interesting and new divisibility properties for degenerate Cauchy polynomials and numbers.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:degenerate Cauchy polynomials · degenerate Cauchy numbers · recurrences

Abstract

In this paper, we study the arithmetical properties of degenerate Cauchy polynomials and numbers. We present some basic properties and recurrence relations, determine all the coefficients of degenerate Cauchy polynomials, and give some convolution identities. These results are particularly useful to deduce interesting and new divisibility properties for degenerate Cauchy polynomials and numbers.

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Bu Makaleye Atıf Yap

Cenkci, M., Komatsu, T. (2025). On arithmetical properties of degenerate Cauchy polynomials and numbers. Hacettepe Journal of Mathematics and Statistics, Volume: 54 Issue: 2. https://doi.org/10.15672/hujms.1354679

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Kaynakça (24)

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