Some identities on derangement and degenerate derangement polynomials

In combinatorics, a derangement is a permutation that has no fixed points. The number of derangements of an n-element set is called the n-th derangement number. In this paper, as natural companions to derangement numbers and degenerate versions of the companions we introduce derangement polynomials and degenerate derangement polynomials. We give some of their properties, recurrence relations and identities for those polynomials which are related to some special numbers and polynomials.Comment: 12 page

Internationalisation of higher education in South Korea: Reality, rhetoric, and disparity in academic culture and identities

This article may not exactly replicate the final version published in the Australian Journal of Education. It is not a copy of the record.The central theme of this paper is contradictions: the ways in which official agendas of internationalisation in higher education and academic identity are disturbed by the principles of inclusion and exclusion in the local context of university academic culture. The paper takes the case of South Korea to show how the national policies for the internationalisation of higher education are translated into local cultural practice inside academe. The paper examines specifically (i) what are the ‘positions’ of foreign and female academics in the specific national university context; (ii) how are they constructed by official policies of internationalisation, and (iii) how are they experienced by individuals to form new reflexive identities? Drawing from biographic notes, the paper offers an illustrative analysis of the positioned and positional identities of foreign and female academics and the boundaries of inclusion and exclusion drawn around their identities. The paper is an exploratory one, aimed at future research agendas for a larger theoretical study on internationally mobile academics in different social contexts

New identities involving q-Euler polynomials of higher order

In this paper we give new identities involving q-Euler polynomials of higher order.Comment: 11 page

New q-Euler numbers and polynomials associated with p-adic q-integrals

In this paper we study q-Euler numbers and polynomials by using p-adic q-fermionic integrals on Z_p. The methods to study q-Euler numbers and polynomials in this paper are new.Comment: 13 page