A systemic study of some families of the modified q-Bernoulli numbers and polynomials with weight α is presented by using the p-adic q-integration ℤp. The study of these numbers and polynomials yields an interesting q-analogue related to Bernoulli numbers and polynomials
In this paper, we consider the modified q-Bernstein polynomials for functions of several variables o...
Abstract Dolgy et al. introduced the modified degenerate Bernoulli polynomials, which...
AbstractIn this paper, we focus on applications of q-Euler polynomials and obtain some new combinato...
Abstract. A systemic study of some familier of the modified q-Euler numbers and polynomials with wei...
The purpose of this paper is to give some properties of the modified q-Bernoulli numbers and polynom...
Recently, Kim (2011) has introduced the q-Bernoulli numbers with weight α. In this ...
We give a new construction of the weighted q-Bernoulli numbers and polynomials of higher order by us...
We present a systemic study of some families of higher-order -Bernoulli numbers and polynomials with...
In this manuscript, generating functions are constructed for the new special families of polynomials...
The main purpose of this paper is to present a systemic study of some families of higher-order q-Eul...
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions de...
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions de...
AbstractIn [T. Kim, S.H. Rim, Generalized Carlitz’s q-Bernoulli numbers in the p-adic number field, ...
The q-Bernoulli numbers and polynomials can be given by Witt’s type formulas as p-adic invariant int...
Abstract In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, ...
In this paper, we consider the modified q-Bernstein polynomials for functions of several variables o...
Abstract Dolgy et al. introduced the modified degenerate Bernoulli polynomials, which...
AbstractIn this paper, we focus on applications of q-Euler polynomials and obtain some new combinato...
Abstract. A systemic study of some familier of the modified q-Euler numbers and polynomials with wei...
The purpose of this paper is to give some properties of the modified q-Bernoulli numbers and polynom...
Recently, Kim (2011) has introduced the q-Bernoulli numbers with weight α. In this ...
We give a new construction of the weighted q-Bernoulli numbers and polynomials of higher order by us...
We present a systemic study of some families of higher-order -Bernoulli numbers and polynomials with...
In this manuscript, generating functions are constructed for the new special families of polynomials...
The main purpose of this paper is to present a systemic study of some families of higher-order q-Eul...
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions de...
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions de...
AbstractIn [T. Kim, S.H. Rim, Generalized Carlitz’s q-Bernoulli numbers in the p-adic number field, ...
The q-Bernoulli numbers and polynomials can be given by Witt’s type formulas as p-adic invariant int...
Abstract In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, ...
In this paper, we consider the modified q-Bernstein polynomials for functions of several variables o...
Abstract Dolgy et al. introduced the modified degenerate Bernoulli polynomials, which...
AbstractIn this paper, we focus on applications of q-Euler polynomials and obtain some new combinato...
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