CERTAIN RESULTS ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS

• 발행기관: 충청수학회
• 저자명: Jong Jin Seo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 26, No. 1, 231~242쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2013.02.28

영문 초록

In this work, we deal with q-Genocchi numbers and polynomials. We derive not only new but also interesting prop- erties of the q-Genocchi numbers and polynomials. Also, we give Cauchy-type integral formula of the q-Genocchi polynomials and derive distribution formula for the q-Genocchi polynomials. In the¯nal part, we introduce a de¯nition of q-Zeta-type function which is interpolation function of the q-Genocchi polynomials at negative integers which we express in the present paper.

목차

1. Preliminaries

2. Some poperties of q-Genocchi numbers and polynomials with weight 0

3. Further remarks