We point out that our main results, being very general, are specialised to yield a number of known and new identities involving relatively simple and familiar polynomials.
📌 3 Key Takeaways
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Objective & Hypothesis:Motivated by their importance and potential for applications in a variety of research fields, recently, numerous polynomials and their extensions have been introduced and investigated.
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Key Findings & Data:In this paper, we modify the known generating functions of polynomials, due to both Milne-Thomsons and Dere-Simsek, to introduce a new class of polynomials and present some involved properties.
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Conclusion & Impact:We point out that our main results, being very general, are specialised to yield a number of known and new identities involving relatively simple and familiar polynomials.
Motivated by their importance and potential for applications in a variety of research fields, recently, numerous polynomials and their extensions have been introduced and investigated. In this paper, we modify the known generating functions of polynomials, due to both Milne-Thomsons and Dere-Simsek, to introduce a new class of polynomials and present some involved properties. As obvious special cases of the newly introduced polynomials, we also introduce power sum-Laguerre-Hermite polynomials and generalized Laguerre and Euler polynomials and give certain involved identities and formulas. We point out that our main results, being very general, are specialised to yield a number of known and new identities involving relatively simple and familiar polynomials.
Khan, N., Usman, T., Choi, J. (2022). A new class of generalized polynomials involving Laguerre and Euler polynomials. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 1, 1–13. https://ajindex.com/articles/529439
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