Now showing items 1-10 of 21
Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series
(TBILISI CENTRE MATH SCI, 2018-06)
In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, and investigate certain properties. From this generating function, we derive summation formulas and related bilateral series ...
Hermite based poly-bernoulli polynomials with a g-parameter
(Jangjeon Mathematical Society, 2018)
We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We ...
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 . We study the approximation properties of these operators including weighted Korovkin ...
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 ...
Approximation degree of Durrmeyer-Bezier type operators
(SPRINGER INTERNATIONAL PUBLISHING A, 2018-02-22)
Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szasz type operators, was introduced. In this paper, we study Bezier variant of these new operators. We investigate the degree ...
A new symmetric endomorphism operator for some generalizations of certain generating functions
(BULGARIAN ACAD SCIENCE, 2018)
In this article, we introduce new symmetric endomorphism operators by making use of appropriate infinite product series. The main results show that after direct calculations, the proposed operators are qualified to obtain ...
Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications
In the present paper, we find the Fourier expansion of the Apostol Frobenius-Euler polynomials. By using a Fourier expansion of the Apostol Frobenius-Euler polynomials, we derive some new and interesting results.
Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers
(SPRINGER INTERNATIONAL PUBLISHING AG, 2018-06)
In the present paper, firstly we find a number of poles of generating functions of Bernoulli numbers and associated Euler numbers, denoted by n(a, B) and n(a, E), respectively. Secondly, we derive the mean value of a ...
Certain fractional calculus formulas involving extended generalized Mathieu series
We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral ...
Applications of fourier series and zeta functions to Genocchi polynomials
(Natural Sciences Publishing, 2018-09-01)
In this paper, we firstly consider the properties of Genocchi polynomials, Fourier series and Zeta functions. In the special cases, we see that the Fourier series yield Zeta functions. From here, we show that zeta functions ...