Results 81 to 90 of about 1,071,338 (106)
Degenerate versions of hypergeometric Bernoulli-Euler polynomials [PDF]
In this paper, we introduce degenerate versions of the hypergeometric Bernoulli and Euler polynomials. We demonstrate that they form Δλ-Appell sets and provide some of their algebraic properties, including inversion formulas, as well as the associated ...
Ramírez, William +2 more
core +1 more source
Journal of Inequalities and ApplicationsThis study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan +4 more
doaj +1 more source
Exponential Operators and Hermite Type Polynomials [PDF]
, 2016 Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2016. Supervisor: Prof. Dr. Mehmet Ali Özarslan.This thesis consists of five Chapters.
Baran, Gizem
core
The second solution of the Hermite equation and the monomiality formalism
, 2013 The Hermite polynomials can be defined through a second order differential equation with non constant coefficients, admitting two solutions one of which of non polynomial nature.
G. Dattoli +7 more
core
Monomiality and a New Family of Hermite Polynomials
, 2022 In this article we go deeply into the formulation and meaning of the monomiality principle and employ it to study the properties of a set of polynomials, which, asymptotically, reduce to the ordinary two variable Kampe de Feriet family.
Licciardi, Silvia, Dattoli, Giuseppe
core
Blowing-up of locally monomially foliated space
, 2015 In this paper, we prove that the blowing-up preserve the local monomiality of foliated ...
Braghtha, Aymen
core +1 more source
Monomiality Principle, Sheffer-Type Polynomials and the Normal Ordering Problem [PDF]
Journal of Physics: Conference Series, 2006 We solve the boson normal ordering problem for $(q(a^†)a+v(a^†))^n$ with arbitrary functions $q(x)$ and $v(x)$ and integer $n$, where $a$ and $a^†$ are boson annihilation and creation operators, satisfying $[a,a^†]=1$. This consequently provides the solution for the exponential $e^{λ(q(a^†)a+v(a^†))}$ generalizing the shift operator.
Andrzej Horzela +2 more
exaly +6 more sources
Classes of Hypercomplex Polynomials of Discrete Variable Based on the Quasi-Monomiality Principle [PDF]
Applied Mathematics and Computation, 2014 24 pages. 1 figure.
Nelson José Rodrigues Faustino
exaly +6 more sources
Quasi-Monomiality Principle and Certain Properties of Degenerate Hybrid Special Polynomials
Symmetry, 2023 This article aims to introduce degenerate hybrid type Appell polynomials HQm(u,v,w;η) and establishes their quasi-monomial characteristics. Additionally, a number of features of these polynomials are established, including symmetric identities, implicit summation formulae, differential equations, series definition and operational formalism.
Rabab Alyusof
exaly +2 more sources
Monomiality Principle, Operational Methods and Family of Laguerre–Sheffer Polynomials
Journal of Mathematical Analysis and Applications, 2012 The authors use the monomiality principle formalism and operational methods in order to introduce the Laguerre-Sheffer polynomials. The generating function for these polynomials is derived and a correspondence between the Laguerre-Sheffer and the Sheffer polynomials is established.
Subuhi Khan
exaly +3 more sources