منابع مشابه
On the weighted degenerate Carlitz q-Bernoulli polynomials and numbers
In this paper, by using the p-adic q-integral on Zp which was defined by Kim, we define the weighted Carlitz q-Bernoulli polynomials and investigate some identities of these polynomials. In particular, we define the weighted degenerate Carlitz’s q-Bernoulli polynomials and numbers and give some interesting properties that are associated with these numbers and polynomials. AMS subject classifica...
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The main goal of the present paper is to construct some families of the Carlitz's $q$-Bernoulli polynomials and numbers. We firstly introduce the modified Carlitz's $q$-Bernoulli polynomials and numbers with weight ($_{p}$. We then define the modified degenerate Carlitz's $q$-Bernoulli polynomials and numbers with weight ($alpha ,beta $) and obtain some recurrence relations and other identities...
متن کاملON THE TWISTED q-ZETA FUNCTIONS AND q-BERNOULLI POLYNOMIALS
One purpose of this paper is to define the twisted q-Bernoulli numbers by using p-adic invariant integrals on Zp. Finally, we construct the twisted q-zeta function and q-L-series which interpolate the twisted q-Bernoulli numbers.
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.
متن کاملA Note on Degenerate Hermite Poly–bernoulli Numbers and Polynomials
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...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2016
ISSN: 1015-8634
DOI: 10.4134/bkms.b150583