## Search

Now showing items 31-40 of 51

#### Asymptotic properties of a new Sturm-Liouville problem with retarded argument

(WILEY-BLACKWELL, 2014-11-30)

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 ...

#### 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 ...

#### 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 ...

#### On applications of blending generating functions of q-Apostol-type polynomials

(BULGARIAN ACAD SCIENCE, 2019)

Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ...

#### Generalized Szasz-Kantorovich Type Operators

(RGN PUBL, 2019)

In this note, we present Kantorovich modification of the operators introduced by V. Mihesan [Creative Math. Inf. 17 (2008), 466 - 472]. First, we derive some indispensable auxiliary results in the second section. We present ...

#### A note on the (p,q)-Hermite polynomials

(Natural Sciences Publishing USA, 2018-01-01)

In this paper, we introduce a new generalization of the Hermite polynomials via (p,q)-exponential generating function and investigate several properties and relations for mentioned polynomials including derivative property, ...

#### 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 HIGHER ORDER (p, q)-FROBENIUS-EULER POLYNOMIALS

(INST APPLIED MATHEMATICS, 2017)

The main purpose of this paper is to introduce (p, q)-Frobenius-Euler numbers and polynomials, and to investigate their some identities and properties including addition property, difference equation, derivative property, ...

#### (ρ,q)-Volkenborn integration

(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017-02)

In the paper, we introduce an analogue of Haar distribution based on (rho, q)-numbers, as follows:
mu(rho,q) (a + p(N)Z(p)) = rho(pN)/[p(N)](rho,q) (q/rho)(a)
By means of this distribution, we derive (rho, q)-analogue ...

#### 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, ...