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

Author

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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)

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.

Suggested Citation

  • Cheon-Seoung Ryoo & Jung-Yoog Kang, 2022. "Several Types of q -Differential Equations of Higher Order and Properties of Their Solutions," Mathematics, MDPI, vol. 10(23), pages 1-14, November.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4469-:d:984999
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    References listed on IDEAS

    as
    1. Jung Yoog Kang, 2020. "Some Properties and Distribution of the Zeros of the - Sigmoid Polynomials," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-10, July.
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    Cited by:

    1. Sergei Sitnik, 2023. "Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms”," Mathematics, MDPI, vol. 11(15), pages 1-7, August.

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