## Search

Now showing items 1-10 of 68

#### Some (p, q)-analogues of Apostol type numbers and polynomials

(UNIV TARTU PRESS, 2019-06)

We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several ...

#### Certain Results of q-Sheffer-Appell Polynomials

(MDPI, 2019-02)

In this paper, the class of q-Sheffer-Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of ...

#### A new class of Laguerre-based Apostol type polynomials

(TAYLOR & FRANCIS AS, 2016)

In this paper, we introduce a generating function for a new generalization of Laguerre-based Apostol-Bernoulli polynomials, Apostol-Euler and Apostol-Genocchi polynomials. By making use of the generating function method ...

#### Some new formulas for the products of the Apostol type polynomials

(SPRINGEROPEN, 2016-11-10)

In the year 2014, Kim et al. computed a kind of new sums of the products of an arbitrary number of the classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded degree. ...

#### Dunkl analogue of Szasz-Mirakjan operators of blending type

(DE GRUYTER POLAND SP ZOO, 2018-11-15)

In the present work, we construct a Dunkl generalization of the modified Szasz-Mirakjan operators of integral form defined by Paltanea [1]. We study the approximation properties of these operators including weighted Korovkin ...

#### Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator

(SPRINGER INTERNATIONAL PUBLISHING AG, 2015-02-11)

In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ...

#### Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function

(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2015-02)

The Newton power-sum formulas relate to sums of powers of roots of a polynomial with the coefficients of the polynomial. In this paper we obtain formulas that relate to sums of reciprocal powers of zeros and poles of entire ...

#### Weakly Compatible Maps in Complex Valued Metric Spaces and an Application to Solve Urysohn Integral Equation

(UNIV NIS, 2016)

In this paper, we prove common fixed point theorems for a pair of mappings satisfying rational inequality. Also, we prove common fixed point theorems for weakly compatible maps, weakly compatible along with (CLR) and E.A. ...

#### On the von Staudt-Clausen's theorem related to q-Frobenius-Euler numbers

(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016-02)

In this paper, we introduce q-Frobenius-Euler numbers and derive some new properties. From those properties, we show that this number is a p-adic integer, and can be expressed by von Staudt-Clausen's theorem. We also get ...

#### A note on the values of weighted q-Bernstein polynomials and weighted q-Genocchi numbers

(SPRINGEROPEN, 2015-01-31)

The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers. The present paper deals with weighted q-Bernstein polynomials (or ...