Balancing polynomials and their derivatives

• Datum: 2017
• Hauptverfasser: Ray, P. K., Раі, П. К.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1715
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the generalization of balancing numbers with a new sequence of numbers called $k$-balancing numbers. Moreover, by using the Binet formula for $k$-balancing numbers, we obtain the identities including the generating function of these numbers. In addition, the properties of divisibility of th...