On K-Chebsyhev Sequence

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Ozkan E., Akkus H.

WSEAS TRANSACTIONS ON MATHEMATICS, cilt.22, ss.503-507, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22
  • Basım Tarihi: 2023
  • Doi Numarası: 10.37394/23206.2023.22.56
  • Dergi Adı: WSEAS TRANSACTIONS ON MATHEMATICS
  • Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.503-507
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this study, firstly the k-Chebsyhev sequence is defined, and some terms of this sequence are given. Then, the relations between the terms of the k-Chebsyhev sequence are presented and the generating function of this sequence is obtained. In addition, the Catalan transformation of the sequence is given and the generating function of the Catalan k-Chebsyhev sequence is obtained. Finally, the Hankel transform is applied to the Catalan k-Chebsyhev transform.