Some Properties and Identities of Bernoulli and Euler Polynomials Associated withp-adic Integral onℤp-Reference-Cited by-同舟云学术

Some Properties and Identities of Bernoulli and Euler Polynomials Associated withp-adic Integral onℤp

Published:2012 Issue: Volume:2012 Page:1-12
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kim D. S.¹,Kim T.²,Dolgy D. V.³,Lee S. H.⁴,Rim S.-H.⁵

Affiliation:

1. Department of Mathematics, Sogang University, Seoul, Republic of Korea

2. Department of Mathematics, Kwangwoon University, Seoul, Republic of Korea

3. Hanrimwon, Kwangwoon University, Seoul, Republic of Korea

4. Division of General Education, Kwangwoon University, Seoul, Republic of Korea

5. Department of Mathematics Education, Kyungpook National University, Taegu, Republic of Korea

Abstract

We investigate some properties and identities of Bernoulli and Euler polynomials. Further, we give some formulae on Bernoulli and Euler polynomials by usingp-adic integral onℤp.

Funder

National Research Foundation of Korea

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/847901.pdf

Reference19 articles.

1. q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients

2. Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on ℤ p

3. SOME NEW PROPERTIES ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-BERNSTEIN POLYNOMIALS

4. Some Identities on Bernstein Polynomials Associated with -Euler Polynomials

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