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Now showing items 21-30 of 49

#### 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).

#### 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 ...

#### 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 ...

#### 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 ...

#### A General Class of the Three-Variable Unified Apostol-Type q-Polynomials and Multiple Power q-Sums

(Springer International Publishing, 2019)

The main purpose of this article is to introduce a general class of the three-variable unified Apostol-type q-polynomials and to investigate their properties and characteristics. In particular, the generating function, ...

#### A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays

(Elsevier Inc., 2020-03-15)

The significance of multi-variable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3-variable Legendre-truncated-exponential-based Sheffer ...

#### Certain fractional calculus formulas involving extended generalized Mathieu series

(SPRINGEROPEN, 2018-04-23)

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 ...

#### 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.

#### 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 ...

#### Research on Some New Results Arising from Multiple q-Calculus

(UNIV NIS, 2018)

In this paper, we develop the theory of the multiple q-analogue of the Heine's binomial formula, chain rule and Leibniz's rule. We also derive many useful definitions and results involving multiple q-antiderivative and ...