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

A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp

The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers. The present paper deals with weighted q-Bernstein polynomials and q-Genocchi numbers with weight alpha and beta. We apply the method of generating function and p-adic q-integral representation on Zp, which are exploited to derive further classes of Bernstein polynomials and q-Genocchi numbers and polynomials. To be more precise we summarize our results as follows, we obtain some combinatorial relations between q-Genocchi numbers and polynomials with weight alpha and beta. Furthermore, we derive an integral representation of weighted q-Bernstein polynomials of degree n on Zp. Also we deduce a fermionic p-adic q-integral representation of product weighted q-Bernstein polynomials of different degrees n1,n2,...on Zp and show that it can be written with q-Genocchi numbers with weight alpha and beta which yields a deeper insight into the effectiveness of this type of generalizations. Our new generating function possess a number of interesting properties which we state in this paper.Comment: 10 page

A note on q-Bernstein polynomials

In this paper we constructed new q-extension of Bernstein polynomials. Fron those q-Berstein polynomials, we give some interesting properties and we investigate some applications related this q-Bernstein polynomials.Comment: 13 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