Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Volume: 44 Issue: 6

Some identities and recurrences relations for the q-Bernoulli and q-Euler polynomials

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Yayın Tarihi
2015-12-01
DOI
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⚡ 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:Research Article
📍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

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Bu Makaleye Atıf Yap

Kurt, V. (2015). Some identities and recurrences relations for the q-Bernoulli and q-Euler polynomials. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 6. https://ajindex.com/articles/1403215

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