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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Furthermore, we prove two theorems which are analogues of the q-extension Srivastava-Pinter additional theorem
📌 3 Key Takeaways
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Objective & Hypothesis:In this article we prove some relations between two-variable q-Bernoulli polynomials and two-variable q-Euler polynomials.
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Key Findings & Data: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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Conclusion & Impact:Furthermore, we prove two theorems which are analogues of the q-extension Srivastava-Pinter additional theorem
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article
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