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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Furthermore, we prove two theorems which are analogues of the q-extension Srivastava-Pinter additional theorem
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this article we prove some relations between two-variable q-Bernoulli polynomials and two-variable q-Euler polynomials.
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Temel Bulgular & Veri:By using the equality $e_q(z)E_q(-z)=1$, we give an identity for the two-variable q-Genocchi polynomials.
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Sonuç & Katkı:Furthermore, we prove two theorems which are analogues of the q-extension Srivastava-Pinter additional theorem
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bernoulli numbers and polynomials · Genocchi polynomials · generating functions
Abstract
In this article we prove some relations between two-variable q-Bernoulli polynomials and two-variable q-Euler polynomials. By using the equality $e_q(z)E_q(-z)=1$, we give an identity for the two-variable q-Genocchi polynomials. Also, we obtain an identity for the two-variable q-Bernoulli polynomials. Furthermore, we prove two theorems which are analogues of the q-extension Srivastava-Pinter additional theorem
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Kurt, V. (2022). Some identities and recurrences relations for the q-Bernoulli and q-Euler polynomials. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 6, 1397–1404. https://ajindex.com/articles/530201