Various Types of q -Differential Equations of Higher Order for q -Euler and q -Genocchi Polynomials

Cheon-Seoung Ryoo and Jung-Yoog Kang
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Cheon-Seoung Ryoo: Department of Mathematics, Hannam University, Daejeon 34430, Korea
Jung-Yoog Kang: Department of Mathematics Education, Silla University, Busan 46958, Korea

Mathematics, 2022, vol. 10, issue 7, 1-16

Abstract: One finds several q -differential equations of a higher order for q -Euler polynomials and q -Genocchi polynomials. Additionally, we have a few q -differential equations of a higher order, which are mixed with q -Euler numbers and q -Genocchi polynomials. Moreover, we investigate some symmetric q -differential equations of a higher order by applying symmetric properties of q -Euler polynomials and q -Genocchi polynomials.

Keywords: q -Euler polynomials; q -Genocchi polynomials; q -differential equation of higher order; symmetric property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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