Explicit expression for symmetric identities of w-Catalan–Daehee polynomials

Taekyun Kim, Seog-Hoon Rim, Dmitry V. Dolgy and Sung-Soo Pyo
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 4, Pages 99–111
DOI: 10.7546/nntdm.2018.24.4.99-111
Full paper (PDF, 133 Kb)

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Authors and affiliations

Taekyun Kim
Department of Mathematics, Tianjin Polytechnic University
Tianjin 300387, China, and
Department of Mathematics, Kwangwoon University
Seoul, Republic of Korea

Seog-Hoon Rim
Department of Mathematics Education, Kyungpook National University
Daegu, Republic of Korea

Dmitry V. Dolgy
Institute of Natural Sciences, Far Eastern Federal University
Vladivostok, 690950, Russia

Sung-Soo Pyo
Department of Mathematics Education, Silla University
Busan, Republic of Korea

Abstract

Recently, Catalan–Daehee numbers are studied by several authors. In this paper, we consider the w-Catalan–Daehee polynomials and investigate some properties for those polynomials. In addition, we give explicit expression for the symmetric identities of the w-Catalan–Daehee polynomials which are derived from p-adic invariant integral on ℤ_p.

Keywords

• Catalan numbers
• Daehee numbers
• w-Catalan–Daehee numbers

2010 Mathematics Subject Classification

• 11B83
• 11S80

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