IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i11p244-d181287.html
   My bibliography  Save this article

A New Identity Involving the Chebyshev Polynomials

Author

Listed:
  • Yixue Zhang

    (School of Mathematics, Northwest University, Xi’an 710127, China)

  • Zhuoyu Chen

    (School of Mathematics, Northwest University, Xi’an 710127, China)

Abstract

In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev polynomials. This makes it possible to simplify a class of complex computations involving the second type Chebyshev polynomials into a very simple problem. Finally, we give a new and interesting identity for it.

Suggested Citation

  • Yixue Zhang & Zhuoyu Chen, 2018. "A New Identity Involving the Chebyshev Polynomials," Mathematics, MDPI, vol. 6(11), pages 1-8, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:244-:d:181287
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/11/244/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/6/11/244/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Xiaoxue Li, 2015. "Some Identities Involving Chebyshev Polynomials," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-5, March.
    2. Tingting Wang & Han Zhang, 2015. "Some Identities Involving the Derivative of the First Kind Chebyshev Polynomials," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, 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. Shimeng Shen & Li Chen, 2019. "Some Types of Identities Involving the Legendre Polynomials," Mathematics, MDPI, vol. 7(2), pages 1-7, January.
    2. Yuankui Ma & Wenpeng Zhang, 2018. "Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers," Mathematics, MDPI, vol. 6(12), pages 1-8, December.

    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:6:y:2018:i:11:p:244-:d:181287. 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.