Results 21 to 30 of about 263 (108)

Applying the monomiality principle to the new family of Apostol Hermite Bernoulli-type polynomials

Communications in Applied and Industrial Mathematics
Abstract In this article, we introduce a new class of polynomials, known as Apostol Hermite Bernoulli-type polynomials, and explore some of their algebraic properties, including summation formulas and their determinant form. The majority of our results are proven using generating function methods.
William Ramírez, Clemente Cesarano
openalex   +2 more sources

Multi-variable Gould-Hopper and Laguerre polynomials [PDF]

Le Matematiche, 2007
The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Caterina Cassisa, Paolo E. Ricci
doaj   +3 more sources

Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials

Mathematics, 2023
A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed, Shahid Ahmad Wani, Yamilet Quintana   +2 more
doaj   +1 more source

Exploring the versatile properties and applications of multidimensional degenerate Hermite polynomials

AIMS Mathematics, 2023
In this study, we develop various features in special polynomials using the principle of monomiality, operational formalism, and other qualities. By utilizing the monomiality principle, new outcomes can be achieved while staying consistent with past ...
Mohra Zayed, Shahid Wani
doaj   +1 more source

On an Umbral Point of View of the Gaussian and Gaussian-like Functions [PDF]

, 2023
The theory of Gaussian functions is reformulated using an umbral point of view. The symbolic method we adopt here allows an interpretation of the Gaussian in terms of a Lorentzian image function.
Dattoli G., Di Palma E., Licciardi S.
core   +4 more sources

Certain Properties and Applications of Δ_h Hybrid Special Polynomials Associated with Appell Sequences

Fractal and Fractional, 2023
The development of certain aspects of special polynomials in line with the monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research.
Rabab Alyusof, Shahid Ahmmad Wani
doaj   +1 more source

Degenerate 2D bivariate Appell polynomials: properties and applications

Applied Mathematics in Science and Engineering, 2023
The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable.
Shahid Ahmad Wani, Arundhati Warke, Javid Gani Dar   +2 more
doaj   +1 more source

Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials

Mathematics, 2023
The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani, Georgia Irina Oros, Ali M. Mahnashi, Waleed Hamali   +3 more
doaj   +1 more source

On the combinatorics of partition functions in AdS3/LCFT2 [PDF]

, 2019
Three-dimensional Topologically Massive Gravity at its critical point has been conjectured to be holographically dual to a Logarithmic CFT. However, many details of this correspondence are still lacking.
Mvondo-She, Yannick, Zoubos, Konstantinos   +1 more
core   +2 more sources

On generalized hypercomplex laguerre-type exponentials and applications [PDF]

, 2011
In hypercomplex context, we have recently constructed Appell sequences with respect to a generalized Laguerre derivative operator. This construction is based on the use of a basic set of monogenic polynomials which is particularly easy to handle and
Cação, I., Falcão, M. I., Malonek, H. R.   +2 more
core   +2 more sources