Now showing items 1-10 of 13
Identities on Some Special Poynomials Derived from the Concepts of n-Normed Structures, Accretive Operators and Contraction Mappings
(SPRINGER INTERNATIONAL PUBLISHING A, 2018-06)
In this paper, we study the notions of accretive operators, contraction mappings, non-expansive mappings using the idea of n (>l)-normed structures for some relevant results. Further, we define (lambda, q)-transform by ...
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 ...
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, ...
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.
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 ...
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 ...
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 ...
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 ...
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 ...