Now showing items 21-30 of 78
Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution
Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential ...
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 ...
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.
Asymptotic properties of a new Sturm-Liouville problem with retarded argument
In this work, we study the asymptotic properties of a new Sturm-Liouville problem with retarded argument. Contrary to previous works, differential equation includes eigenparameter as a quadratic function. In the considered ...
Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials
In the present paper, we aim to specify a p-adic continuous function for an odd prime inside a p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler ...
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)
In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, ...
Modified Stancu operators based on inverse Polya Eggenberger distribution
(SPRINGER INTERNATIONAL PUBLISHING AG, 2017-03-06)
In this paper, we construct a sequence of modified Stancu-Baskakov operators for a real valued function bounded on [0, infinity), based on a function tau (x). This function tau (x) is infinite times continuously differentiable ...