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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 5

On $q$-hypergeometric Bernoulli polynomials and numbers

Salifou Mboutngam(University of Maroua, Higher Teacher Training College)0000-0002-4560-0961
Patrick Njıonou Sadjang(University of Douala, Faculty of Industrial Engineering)0000-0002-5196-6855
Sayfa
—
Yayın Tarihi
2021-10-15
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Classical results are recovered by limit transition.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We introduce $q$-analogues of the hypergeometric Bernoulli polynomials in one and two real parameters and study several of their properties.
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Temel Bulgular & Veri:Also we provide the inversion, the power representation, the multiplication and the addition formula for these polynomials.
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Sonuç & Katkı:Classical results are recovered by limit transition.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$q$-Bernoulli polynomials · $q$-Bernoulli numbers · $q$-hypergeometric Bernoulli polynomials

Abstract

We introduce $q$-analogues of the hypergeometric Bernoulli polynomials in one and two real parameters and study several of their properties. Also we provide the inversion, the power representation, the multiplication and the addition formula for these polynomials. Classical results are recovered by limit transition.

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Bu Makaleye Atıf Yap

Mboutngam, S., Sadjang, P. N. (2021). On $q$-hypergeometric Bernoulli polynomials and numbers. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 5. https://doi.org/10.15672/hujms.669940

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