We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Identities and Computation Formulas for Combinatorial Numbers Including Negative Order Changhee Polynomials.
- Authors
Kim, Daeyeoul; Simsek, Yilmaz; So, Ji Suk
- Abstract
The purpose of this paper is to construct generating functions for negative order Changhee numbers and polynomials. Using these generating functions with their functional equation, we prove computation formulas for combinatorial numbers and polynomials. These formulas include Euler numbers and polynomials of higher order, Stirling numbers, and negative order Changhee numbers and polynomials. We also give some properties of these numbers and polynomials with their generating functions. Moreover, we give relations among Changhee numbers and polynomials of negative order, combinatorial numbers and polynomials and Bernoulli numbers of the second kind. Finally, we give a partial derivative of an equation for generating functions for Changhee numbers and polynomials of negative order. Using these differential equations, we derive recurrence relations, differential and integral formulas for these numbers and polynomials. We also give p-adic integrals representations for negative order Changhee polynomials including Changhee numbers and Deahee numbers.
- Subjects
EULER polynomials; POLYNOMIALS; BERNOULLI numbers; EULER number; GENERATING functions; BERNOULLI polynomials; P-adic analysis; HERMITE polynomials
- Publication
Symmetry (20738994), 2020, Vol 12, Issue 1, p9
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym12010009