title: Korobov polynomials of the third kind and of the fourth kind.
abstract: The first degenerate version of the Bernoulli polynomials of the second kind appeared in the paper by Korobov (Math Notes 2:77-19, 1996; Proceedings of the IV international conference modern problems of number theory and its applications, pp 40-49, 2001). In this paper, we study two degenerate versions of the Bernoulli polynomials of the second kind which will be called Korobov polynomials of third kind and of the fourth kind. Some properties, identities, recurrence relations and connections with other polynomials are investigated by using umbral calculus.
authors.affiliation: Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin, 300387 China ; Department of Mathematics, Kwangwoon University, Seoul, 139-701 Republic of Korea.
authors.forename: Taekyun
authors.initials: T
authors.lastname: Kim
authors.affiliation: Department of Mathematics, Sogang University, Seoul, 121-742 Republic of Korea.
authors.forename: Dae San
authors.initials: DS
authors.lastname: Kim
keywords: Korobov polynomials of the third kind and of the fourth kind; umbral calculus