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Now showing items 11-20 of 37

#### Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications

(SPRINGEROPEN, 2018-02-22)

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.

#### 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 ...

#### Unified (P, q)-analog of apostol type polynomials of order α

(UNIV NIS, 2018)

In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ...

#### 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 ...

#### 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 ...

#### 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 ...

#### (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 ...

#### Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials

(Natural Sciences Publishing USA, 2018-03-01)

In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ...

#### A Class of Generating Functions for a New Generalization of Eulerian Polynomials with their Interpolation Functions

(UNIV NIS, 2016)

Motivated by a number of recent investigations, we define and investigate the various properties of a new family of the Eulerian polynomials. We derive useful results involving these Eulerian polynomials including (for ...

#### 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).