Now showing items 1-7 of 7
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
(ELSEVIER SCIENCE INC, 2015-07-01)
In this paper, we present a further investigation for the Apostol-Bernoulh polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ...
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 ...
SOME NEW SYMMETRIC IDENTITIES INVOLVING q-GENOCCHI POLYNOMIALS UNDER S-4
(UNIV PRISHTINES, 2015)
In the paper, we derive some new symmetric identities of q-Genocchi polynomials arising from the fermionic p-adic q-integral on Z(p).
A note on the values of weighted q-Bernstein polynomials and weighted q-Genocchi numbers
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 ...
An analogue of Eulerian polynomials related to L-type function
(MAEJO UNIV, 2015-05)
We introduce Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic q-invairant integral in the p-adic integer ring and obtain some new interesting identities. Using a complex contour integral representation ...
On a q-analog of some numbers and polynomials
(SPRINGER INTERNATIONAL PUBLISHING AG, 2015-01-20)
In this paper, we introduce new q-analogs of the Changhee numbers and polynomials of the first kind and of the second kind. We also derive some new interesting identities related to the Stirling numbers of the first kind ...
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 ...