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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jung-Yoog Kang & Cheon-Seoung Ryoo, 2023. "Approximate Roots and Properties of Differential Equations for Degenerate q -Special Polynomials," Mathematics, MDPI, vol. 11(13), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2803-:d:1176582
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    References listed on IDEAS

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    1. Jian Cao & Jin-Yan Huang & Mohammed Fadel & Sama Arjika, 2023. "A Review of q -Difference Equations for Al-Salam–Carlitz Polynomials and Applications to U ( n + 1) Type Generating Functions and Ramanujan’s Integrals," Mathematics, MDPI, vol. 11(7), pages 1-22, March.
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    Cited by:

    1. Mohra Zayed & Shahid Ahmad Wani & Mohammad Younus Bhat, 2023. "Unveiling the Potential of Sheffer Polynomials: Exploring Approximation Features with Jakimovski–Leviatan Operators," Mathematics, MDPI, vol. 11(16), pages 1-11, August.

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