Yu Seon Jang | Researchain

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Kyungpook Mathematical Journal | 2015

Functional equations associated with generalized Bernoulli numbers and polynomials

Cheon Seoung Ryoo; Dmitry V. Dolgy; Hyuck In Kwon; Yu Seon Jang

In this paper, we investigate the functional equations of the multiple Dirichlet and Hurwitz L-functions associated with Bernoulli numbers and polynomials attached to Dirichlet character.

Abstract and Applied Analysis | 2014

Fourier Series of the Periodic Bernoulli and Euler Functions

Cheon Seoung Ryoo; Hyuck In Kwon; Jihee Yoon; Yu Seon Jang

We give some properties of the periodic Bernoulli functions and study the Fourier series of the periodic Euler functions which are derived periodic functions from the Euler polynomials. And we derive the relations between the periodic Bernoulli functions and those from Euler polynomials by using the Fourier series.

Advanced Studies in Theoretical Physics | 2014

Some identities for the higher-order q-Bernoulli polynomials of the second kind under the third dihedral group D_3

Taekyun Kim; Dae San Kim; Yu Seon Jang; Seog-Hoon Rim

In this paper, we consider the higher-order q-Bernoulli polynomials of the second kind and investigate some symmetric identities under the third Dihedral group D3 which are derived from multivariate p-adic invariant integral on Zp.

Applied mathematical sciences | 2014