Results 1 to 10 of about 129,699 (70)

q-Functions and Distributions, Operational and Umbral Methods

Mathematics, 2021
The use of non-standard calculus means have been proven to be extremely powerful for studying old and new properties of special functions and polynomials.
Giuseppe Dattoli, Silvia Licciardi, Bruna Germano, Maria Renata Martinelli   +3 more
doaj   +1 more source

Umbral Methods and Harmonic Numbers

Axioms, 2018
The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Giuseppe Dattoli, Bruna Germano, Silvia Licciardi, Maria Renata Martinelli   +3 more
doaj   +1 more source

On a modified operator associated with x 4/3: asymptotic analysis and improved order of approximation

Demonstratio Mathematica
In this work, we introduce a new operator M n, constructed using a partial differential equation, that is structurally similar to that of the exponential-type operator G n associated with p(x) = x 4/3, x ∈ (0, ∞). However, unlike G n, the operator M n is
Gupta Vijay, Sharma Vaibhav, Goodrich Christopher S.   +2 more
doaj   +1 more source

Some new forms and properties of Legendre matrix polynomials with two variables

Demonstratio Mathematica
This paper aims to introduce new significant forms of the Legendre matrix polynomials (LMPs) with two variables, and establish matrix differential recurrence relations and matrix partial differential recurrence relations for LMPs with two variables, and ...
Khammash Ghazi S., Kamarujjama M., Nadarajah Saralees, Al-Zhour Zeyad   +3 more
doaj   +1 more source

Some Properties of q-Hermite-Fubini Numbers and Polynomials

Lecture Notes in Networks and Systems, 2022
Waseem Ahmad Khan, Azhar Iqbal
exaly  

Some Properties of the Hermite Polynomials

Georgian Mathematical Journal, 2021
Bai-Ni Guo, Feng Qi
exaly  

Umbral Treatment and Lacunary Generating Function for Hermite Polynomials

Georgian Mathematical Journal, 2023
Umme Zainab
exaly  

Monomiality and a New Family of Hermite Polynomials

Symmetry, 2023
Silvia Licciardi, Giuseppe Dattoli
exaly  

D-Orthogonality of a Generalization of Both Laguerre and Hermite Polynomials

Georgian Mathematical Journal, 2020
Youssèf Ben Cheikh, Mongi Blel
exaly  

Identities Involving 3-Variable Hermite Polynomials Arising From Umbral Method

Advances in Difference Equations, 2020
Nusrat Raza, Serkan Araci, Ayhan Esi
exaly