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Now showing items 11-20 of 98

#### Identities involving 3-variable Hermite polynomials arising from umbral method

(Springer Science and Business Media Deutschland GmbH, December 2)

In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, ...

#### Estimates of certain paraxial diffraction integral operator and its generalized properties

(Springer, 1 December)

This paper aims to discuss a generalization of certain paraxial diffraction integral operator in a class of generalized functions. At the start of this paper, we propose a convolution formula and establish certain convolution ...

#### Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications

(Springer, 1 December)

Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 ...

#### New type of degenerate Daehee polynomials of the second kind

(Springer, 1 December)

Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. ...

#### Computation of certain integral formulas involving generalized Wright function

(Springer, 1 December)

The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the ...

#### A note on the values of weighted q-Bernstein polynomials and weighted q-Genocchi numbers

(SPRINGEROPEN, 2015-01-31)

The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers. The present paper deals with weighted q-Bernstein polynomials (or ...

#### Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator

(SPRINGER INTERNATIONAL PUBLISHING AG, 2015-02-11)

In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ...

#### On the von Staudt-Clausen's theorem related to q-Frobenius-Euler numbers

(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016-02)

In this paper, we introduce q-Frobenius-Euler numbers and derive some new properties. From those properties, we show that this number is a p-adic integer, and can be expressed by von Staudt-Clausen's theorem. We also get ...

#### Weakly Compatible Maps in Complex Valued Metric Spaces and an Application to Solve Urysohn Integral Equation

(UNIV NIS, 2016)

In this paper, we prove common fixed point theorems for a pair of mappings satisfying rational inequality. Also, we prove common fixed point theorems for weakly compatible maps, weakly compatible along with (CLR) and E.A. ...

#### On weighted q-Daehee polynomials with their applications

(Elsevier B.V., 2019-03)

In this paper, we first consider a generalization of Kim's p-adic q-integral on Z p including parameters α and β. By using this integral, we introduce the q-Daehee polynomials and numbers with weight α,β. Then, we obtain ...