Several Types of q -Differential Equations of Higher Order and Properties of Their Solutions

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

Mathematics, 2022, vol. 10, issue 23, 1-14

Abstract: The purpose of this paper is to organize various types of higher order q -differential equations that are connected to q -sigmoid polynomials and obtain certain properties regarding their solutions. Using the properties of q -sigmoid polynomials, we show the symmetric properties of q -differential equations of higher order. Moreover, we derive special properties for the approximate roots of q -sigmoid polynomials which are solutions of higher order q -differential equations.

Keywords: q -derivative; q -numbers; q -sigmoid numbers and polynomials; q -differential equations of higher order; q -sigmoid polynomials; symmetric property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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