A note on the generating function of p-bernoulli numbers
نویسندگان
چکیده
منابع مشابه
A note on poly-Bernoulli numbers and multiple zeta values
We review several occurrences of poly-Bernoulli numbers in various contexts, and discuss in particular some aspects of relations of poly-Bernoulli numbers and special values of certain zeta functions, notably multiple zeta values.
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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. §
متن کاملA note on q-Bernoulli numbers and polynomials
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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In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions. These results extend some known summations and identities of d...
متن کاملA Note on Partially Degenerate Bernoulli Numbers and Polynomials
In this paper, we consider the partially degenerate Bernoulli numbers and polynomials of the first kind and the second kind and investigate some properties of these numbers and polynomials.
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ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 2018
ISSN: 1607-3606,1727-933X
DOI: 10.2989/16073606.2018.1522384