Now showing items 11-20 of 42
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.
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
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 ...
(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 ...
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 ...
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 , we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ...