## Search

Now showing items 1-10 of 36

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### A Class of Generating Functions for a New Generalization of Eulerian Polynomials with their Interpolation Functions

(UNIV NIS, 2016)

Motivated by a number of recent investigations, we define and investigate the various properties of a new family of the Eulerian polynomials. We derive useful results involving these Eulerian polynomials including (for ...

#### A Note on the Truncated-Exponential Based Apostol-Type Polynomials

(MDPI, 2019-04)

In this paper, we propose to investigate the truncated-exponential-based Apostol-type polynomials and derive their various properties. In particular, we establish the operational correspondence between this new family of ...

#### Generating functions of binary products of k-Fibonacci and orthogonal polynomials

(SPRINGER-VERLAG ITALIA SRL, 2019-07)

In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Pell numbers and Tchebychev polynomials of first and second kind. By making use of the new operator defined ...

#### FULLY DEGENERATE HERMITE POLY-BERNOULLI NUMBERS AND POLYNOMIALS

(MILI PUBL, 2018-04)

In the paper, we first introduce the fully degenerate Hermite poly-Bernoulli polynomials and investigate their properties. Next we derive the implicit summation formulae and general symmetry identities by making use of ...