Some Identities on the High-Order q -Euler Numbers and Polynomials with Weight 0

Jongsung Choi; Hyun-Mee Kim; Young-Hee Kim

doi:10.1155/2013/459763

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Article

2013 Some Identities on the High-Order

q

-Euler Numbers and Polynomials with Weight 0

Jongsung Choi, Hyun-Mee Kim, Young-Hee Kim

Abstr. Appl. Anal. 2013: 1-6 (2013). DOI: 10.1155/2013/459763

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Abstract

We construct the $N$ th order nonlinear ordinary differential equation related to the generating function of $q$ -Euler numbers with weight 0. From this, we derive some identities on $q$ -Euler numbers and polynomials of higher order with weight 0.

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Jongsung Choi. Hyun-Mee Kim. Young-Hee Kim. "Some Identities on the High-Order $q$ -Euler Numbers and Polynomials with Weight 0." Abstr. Appl. Anal. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/459763