Toplam kayıt 13, listelenen: 1-10
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
In this paper, we present a further investigation for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ...
Identities involving some new special polynomials arising from the applications of fractional calculus
(Natural Sciences Publishing Co., 2015)
Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making ...
Symmetric identities involving weighted q-Genocchi polynomials under s4
(Jangjeon Research Institute for Mathematical Sciences and Physics, 2015)
In the paper, wo obtain some new symmetric identities of weighted g-Genocchi polynomials using the fermionic p-adic q-integral on Zp.
On the von Staudt-Clausen's theorem associated with q-Genocchi numbers
Recently, the von Staudt-Clausen's theorem for q-Euler numbers was introduced by Kim (2013) and q-Genocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von Staudt-Clausen's ...
On the von Staudt–Clausen's theorem related to q-Frobenius–Euler numbers
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
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 ...
Recent Trends in Special Numbers and Special Functions and Polynomials
(Hindawi Publishing Corporation, 2015)
[No abstract available]
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator
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: (Formula presented.). We make use of such a fractional ...
On a q-analog of some numbers and polynomials
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 ...
Analogues of Newton–Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function
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 ...