IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i12p1781-d1410883.html
   My bibliography  Save this article

Monotonicity Results of Ratios between Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine

Author

Listed:
  • Da-Wei Niu

    (Department of Science, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, China)

  • Feng Qi

    (School of Mathematics and Physics, Hulunbuir University, Hulunbuir 021008, China
    School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China
    Independent Researcher, University Village, Dallas, TX 75252, USA)

Abstract

In the paper, the authors establish the monotonicity results of the ratios between normalized tails of the Maclaurin power series expansions of the sine and cosine functions and restate them in terms of the generalized hypergeometric functions.

Suggested Citation

  • Da-Wei Niu & Feng Qi, 2024. "Monotonicity Results of Ratios between Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine," Mathematics, MDPI, vol. 12(12), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1781-:d:1410883
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/12/1781/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/12/1781/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Xin-Le Liu & Hai-Xia Long & Feng Qi, 2023. "A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine," Mathematics, MDPI, vol. 11(14), pages 1-12, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Feng Qi, 2024. "Absolute Monotonicity of Normalized Tail of Power Series Expansion of Exponential Function," Mathematics, MDPI, vol. 12(18), pages 1-11, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1781-:d:1410883. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.