A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight  α

T. Kim; D. V. Dolgy; S. H. Lee; B. Lee; S. H. Rim

doi:10.1155/2011/545314

Abstract and Applied Analysis (Jan 2011)

A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α

T. Kim,
D. V. Dolgy,
S. H. Lee,
B. Lee,
S. H. Rim

Affiliations

T. Kim: Division of General Education, Kwangwoon University, Seoul 139-701, Republic of Korea
D. V. Dolgy: Hanrimwon, Kwangwoon University, Seoul 139-701, Republic of Korea
S. H. Lee: Division of General Education, Kwangwoon University, Seoul 139-701, Republic of Korea
B. Lee: Department of Wireless Communications Engineering, Kwangwoon University, Seoul 139-701, Republic of Korea
S. H. Rim: Department of Mathematics Education, Kyungpook National University, Taegu 702-701, Republic of Korea

DOI: https://doi.org/10.1155/2011/545314
Journal volume & issue: Vol. 2011

Abstract

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A systemic study of some families of the modified q-Bernoulli numbers and polynomials with weight α is presented by using the p-adic q-integration ℤp. The study of these numbers and polynomials yields an interesting q-analogue related to Bernoulli numbers and polynomials.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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