A note on identities of symmetry for generalized Carlitz's q-Bernoulli polynomials
نویسندگان
چکیده
منابع مشابه
A Note on Identities of Symmetry for Generalized Carlitz’s q-Bernoulli Polynomials
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. Abstract In this paper, we investigate some symmetric properties of p-adic q-integral on Z p. A question was asked in [10] as to finding formulae of symmetries for the generalized Ca...
متن کاملIDENTITIES OF SYMMETRY FOR THE HIGHER ORDER q-BERNOULLI POLYNOMIALS
Abstract. The study of the identities of symmetry for the Bernoulli polynomials arises from the study of Gauss’s multiplication formula for the gamma function. There are many works in this direction. In the sense of p-adic analysis, the q-Bernoulli polynomials are natural extensions of the Bernoulli and Apostol-Bernoulli polynomials (see the introduction of this paper). By using the N-fold iter...
متن کاملSymmetric Identities for the Generalized Higher-order q-Bernoulli Polynomials
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. Abstract In this paper, we give identities of symmetry for the generalized higher-order q-Bernoulli polynomials attached to χ which are derived from the symmetric properties of multivariate p-adic i...
متن کاملSome Identities of Generalized Higher-order Carlitz q-Bernoulli Polynomials
In this paper, we give some interesting symmetric identities of generalized higher-order Carlitz q-Bernoulli polynomials attached to χ which are derived from symmetry properties of multivariate p-adic q-integral on X.
متن کاملA Note on Symmetric Properties of the Twisted q-Bernoulli Polynomials and the Twisted Generalized q-Bernoulli Polynomials
1 Department of Mathematics and Computer Science, KonKuk University, Chungju 138-70, Republic of Korea 2 Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea 3 Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysore 570# 005, India 4 Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea 5 Department of ...
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ژورنال
عنوان ژورنال: International Journal of Mathematical Analysis
سال: 2014
ISSN: 1314-7579
DOI: 10.12988/ijma.2014.44102