Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials

Pages
486–497
Publication Date
2019-02-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Relevant connections of the results presented here with those relatively simple numbers and polynomials are considered.

📌 3 Key Takeaways

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Objective & Hypothesis:Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other fields of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and investigated.
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Key Findings & Data:In this paper, we aim to introduce generalized Laguerre-Bernoulli polynomials and investigate some of their properties such as explicit summation formulas, addition formulas, implicit formulas, and symmetry identities.
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Conclusion & Impact:Relevant connections of the results presented here with those relatively simple numbers and polynomials are considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Laguerre polynomials · Hermite polynomials · Bernoulli polynomials

Abstract

Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other fields of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and investigated. In this paper, we aim to introduce generalized Laguerre-Bernoulli polynomials and investigate some of their properties such as explicit summation formulas, addition formulas, implicit formulas, and symmetry identities. Relevant connections of the results presented here with those relatively simple numbers and polynomials are considered.

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Cite This Article

KHAN, N., USMAN, T., CHOI, J. (2019). A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 486–497. https://ajindex.com/articles/218065

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