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Journals / Constructive Mathematical Analysis / 2024 / Volume: 7 Issue: Special Issue: AT&A Special Issue

On discrete orthogonal U-Bernoulli Korobov-type polynomials

Alejandro Urieles(Universidad del Atlantico)0000-0002-7186-0898
William Ramirez(Universitdad de la Costa)0000-0003-4675-0221
Clemente Cesarano(International Telematic University UNINETTUNO)0000-0002-1694-7907
Pages
—
Publication Date
2024-12-16
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⚡ TL;DR(Too Long; Didn't Read)

Lastly, we place particular emphasis on investigating the orthogonality relation associated with these polynomials.

📌 3 Key Takeaways

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Objective & Hypothesis:The primary objective of this paper is to introduce and examine the new class of discrete orthogonal polynomials called $U$-Bernoulli Korobov-type polynomials.
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Key Findings & Data:Furthermore, we derive essential recurrence relations and explicit representations for this polynomial class.
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Conclusion & Impact:Lastly, we place particular emphasis on investigating the orthogonality relation associated with these polynomials.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bernoulli polynomials · U–Bernoulli Korobov · discrete orthogonal polynomials

Abstract

The primary objective of this paper is to introduce and examine the new class of discrete orthogonal polynomials called $U$-Bernoulli Korobov-type polynomials. Furthermore, we derive essential recurrence relations and explicit representations for this polynomial class. Most of the results are proven through the utilization of generating function methods. Lastly, we place particular emphasis on investigating the orthogonality relation associated with these polynomials.

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Cite This Article

Urieles, A., Ramirez, W., Cesarano, C. (2024). On discrete orthogonal U-Bernoulli Korobov-type polynomials. Constructive Mathematical Analysis, Volume: 7 Issue: Special Issue: AT&A Special Issue. https://doi.org/10.33205/cma.1502670

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