Approximate Roots and Properties of Differential Equations for Degenerate q -Special Polynomials

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

Mathematics, 2023, vol. 11, issue 13, 1-14

Abstract: In this paper, we generate new degenerate quantum Euler polynomials (DQE polynomials), which are related to both degenerate Euler polynomials and q -Euler polynomials. We obtain several ( q , h ) -differential equations for DQE polynomials and find some relations of q -differential and h -differential equations. By varying the values of q , η , and h , we observe the values of DQE numbers and approximate roots of DQE polynomials to obtain some properties and conjectures.

Keywords: ( q , h )-derivative; DQE polynomials; ( q , h )-differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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