A note on q-Bernoulli numbers and polynomials
نویسندگان
چکیده
منابع مشابه
A note on q-Bernoulli numbers and polynomials
By using q-integration, we will give some integral equation which are related to the Barnes’ multiple Bernoulli numbers. The object of this paper is to give explicit q-integral’s formulae which are related to Barnes’ multiple q-Bernoulli polynomials. §
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Abstract Recently, B. A. Kupershmidt have constructed a reflection symmetries of q-Bernoulli polynomials (see [9]). In this paper we give another construction of a q-Bernoulli polynomials, which form Barnes’ multiple Bernoulli polynomials at q = 1, cf. [1, 13, 14]. By using q-Volkenborn integration, we can also investigate the properties of the reflection symmetries of these’ q-Bernoulli polyno...
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and Applied Analysis 3 we derive some interesting identities and relations on the modified q-Bernoulli numbers and polynomials. 2. The Modified q-Bernoulli Numbers and Polynomials with Weight α In this section, we assume α ∈ Q. Now, we define the modified q-Bernoulli numbers with weight α B̃ α n,q as follows:
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2006
ISSN: 1776-0852
DOI: 10.2991/jnmp.2006.13.3.1