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On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers

Author

Listed:
  • Elen Viviani Pereira Spreafico

    (Institute of Mathematics, Federal University of Mato Grosso do Sul, Campo Grande 79060-300, Brazil
    These authors contributed equally to this work.)

  • Eudes Antonio Costa

    (Department of Mathematics, Federal University of Tocantins, Arraias 77330-000, Brazil
    These authors contributed equally to this work.)

  • Paula Catarino

    (Department of Mathematics, University of Trás-os-Montes e Alto Douro, 5001-801 Vila Real, Portugal
    These authors contributed equally to this work.)

Abstract

This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers. In addition, we establish some of the properties, identities, and recurrence relations of these sequences. The relations of these new sequences with balancing, Lucas-balancing, incomplete balancing, and incomplete Lucas-balancing numbers are explored, and some new identities are provided. Moreover, the functions for generating the incomplete Edouard and incomplete Edouard–Lucas numbers are stated.

Suggested Citation

  • Elen Viviani Pereira Spreafico & Eudes Antonio Costa & Paula Catarino, 2024. "On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers," Mathematics, MDPI, vol. 12(21), pages 1-9, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:21:p:3357-:d:1507125
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    References listed on IDEAS

    as
    1. Dursun Tasci & Mirac Cetin Firengiz & Naim Tuglu, 2012. "Incomplete Bivariate Fibonacci and Lucas ð ‘ -Polynomials," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-11, April.
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