Hindawi Publishing Corporation
International Journal of Mathematics and Mathematical Sciences
Volume 2012, Article ID 862940, 2 pages
doi:10.1155/2012/862940
Editorial
p-Adic Analysis with q-Analysis and
Its Applications
CheonSeoung Ryoo,1 Taekyun Kim,2
A. Bayad,3 and Yilmaz Simsek4
1
Department of Mathematics, College of Natural Sciences, Hannam University,
Daejeon 306-791, Republic of Korea
2
Department of Mathematics, College of Natural Science, Kwangwoon University,
Seoul 139-704, Republic of Korea
3
Département de Mathématiques, Université d’Evry-Val-d’Essonne, Boulevard F. Mitterrand,
91025 Evry Cedex, France
4
Department of Mathematics, Faculty of Sciences, Akdeniz University, 07053 Antalya, Turkey
Correspondence should be addressed to CheonSeoung Ryoo, ryoocs@hnu.kr
Received 21 November 2012; Accepted 21 November 2012
Copyright q 2012 CheonSeoung Ryoo et al. This is an open access article distributed under
the Creative Commons Attribution License, which permits unrestricted use, distribution, and
reproduction in any medium, provided the original work is properly cited.
Bernoulli numbers, Bernoulli polynomials, and Euler numbers, Euler polynomials were studied by many authors. Bernoulli numbers, Bernoulli polynomials, Euler numbers, and Euler
polynomials possess many interesting properties and arise in many areas of mathematics
and physics. These numbers are still in the center of the advanced mathematical research.
Especially, in number theory and quantum theory, they have many applications.
p-Adic analysis with q-analysis includes several domains in mathematics and physics,
including the number theory, algebraic geometry, algebraic topology, mathematical analysis,
mathematical physics, string theory, field theory, stochastic differential equations, quantum
groups, and other parts of the natural sciences.
The intent of this special issue was to survey major interesting results and current
trends in the theory of p-adic analysis associated with q-analogs of zeta functions, Hurwitz
zeta functions, Dirichlet series, L-series, special values, q-analogs of Bernoulli, Euler, and
Genocchi numbers and polynomials, q-integers, q-integral, q-identities, q-special functions, qcontinued fractions, gamma functions, sums of powers, q-analogs of multiple zeta functions,
Barnes multiple zeta functions, multiple L-series, and computational and numerical aspects
of q-series and q-analysis.
The Guest Editors and Referees of this special issue are well-known mathematicians
that work in this field of interest. Thus, we got the best articles to be included in this issue.
2
International Journal of Mathematics and Mathematical Sciences
The results and properties of accepted papers are very interesting, well written, and mathematically correct. The work is a relevant contribution in the field of applied mathematics.
CheonSeoung Ryoo
Taekyun Kim
A. Bayad
Yilmaz Simsek
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