A Note on the q-Euler Numbers and Polynomials with Weak Weight α. (11th September 2011)

• Record Type: Journal Article
• Authors: Lee, H. Y.; Jung, N. S.; Ryoo, C. S.
• Other Names: Alwash Mohamad Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2011(2011)
• Publication Date: 2011-09-11
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2011/497409
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We construct a new type ofq -Euler numbers and polynomials with weak weightα :E n, q ( α ), E n, q ( α ) ( x ), respectively. Some interesting results and relationships are obtained. Also, we observe the behavior of roots of theq -Euler numbersE n, q ( α ) and polynomialsE n, q ( α ) ( x ) with weak weightα . By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots ofq -Euler polynomialsE n, q ( α ) with weak weightα .