Results 1 to 10 of about 70,029 (213)

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   +2 more sources

Investigating Multidimensional Degenerate Hybrid Special Polynomials and Their Connection to Appell Sequences: Properties and Applications

Axioms
This paper explores the operational principles and monomiality principles that significantly shape the development of various special polynomial families.
Awatif Muflih Alqahtani, Saleem Yousuf, Shahid Ahmad Wani, Roberto S. Costas-Santos   +3 more
doaj   +3 more sources

Special values of the Bell polynomials of the second kind for some sequences and functions [PDF]

Journal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi, Da-Wei Niu, Dongkyu Lim, Yong-Hong Yao   +3 more
openaire   +1 more source

Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae

Mathematics, 2021
The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w-harmonic sequences of functions. In special cases,
Mihaela Ribičić Penava
doaj   +1 more source

Study of degenerate derangement polynomials by λ-umbral calculus

Demonstratio Mathematica, 2023
In the 1970s, Rota began to build completely rigid foundations for the theory of umbral calculus based on relatively modern ideas of linear functions and linear operators.
Yun Sang Jo, Park Jin-Woo
doaj   +1 more source

New asymptotic expansions on hyperfactorial functions

Comptes Rendus. Mathématique, 2021
In this paper, by using the Bernoulli numbers and the exponential complete Bell polynomials, we establish four general asymptotic expansions for the hyperfactorial functions $\prod _{k=1}^n {k^{k^q}}$, which have only odd power terms or even power terms.
Xu, Jianjun
doaj   +1 more source

Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators

Mathematics, 2021
The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders.
Jan Chvalina, Michal Novák, Bedřich Smetana, David Staněk   +3 more
doaj   +1 more source

Generalized $q,t$-Catalan numbers [PDF]

, 2020
Recent work of the first author, Negut and Rasmussen, and of Oblomkov and Rozansky in the context of Khovanov--Rozansky knot homology produces a family of polynomials in $q$ and $t$ labeled by integer sequences.
Gorsky, Eugene, Hawkes, Graham, Rainbolt, Julianne, Schilling, Anne   +3 more
core   +4 more sources

λ-q-Sheffer sequence and its applications

Demonstratio Mathematica, 2022
Recently, Kim-Kim [J. Math. Anal. Appl. 493 (2021), no. 1] introduced the degenerate Sheffer sequence and λ-Sheffer sequence. The purpose of this article is to study λ-q-Sheffer sequence and the degenerate q-Sheffer sequence, which are derived from the ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
doaj   +1 more source

Onsager's algebra and partially orthogonal polynomials [PDF]

, 2002
The energy eigenvalues of the superintegrable chiral Potts model are determined by the zeros of special polynomials which define finite representations of Onsager's algebra. The polynomials determining the low-sector eigenvalues have been given by Baxter
Albertini G., Dolan L., G. VON GEHLEN
core   +2 more sources