Results 21 to 30 of about 1,802,704 (118)

Two-Variable q-Hermite-Based Appell Polynomials and Their Applications

Mathematics
A noteworthy advancement within the discipline of q-special function analysis involves the extension of the concept of the monomiality principle to q-special polynomials.
Mohammed Fadel, Maryam Salem Alatawi, Waseem Ahmad Khan   +2 more
doaj   +2 more sources

A characterization of the Rogers q-hermite polynomials [PDF]

International Journal of Mathematics and Mathematical Sciences, 1995
In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.
Waleed A. Al-Salam
doaj   +2 more sources

Approximation in quantum calculus of the Phillips operators by using the sequences of q-Appell polynomials

Journal of Inequalities and Applications
In this paper, we attempt to use the Dunkl analog to study the convergence properties of q-Phillips operators by using the q-Appell polynomials. By applying the new sequences of continuous functions ν s , q ( z ) = ( z − 1 2 [ s ] q ) ϱ $\nu _{s,q}(z ...
Md. Nasiruzzaman, Mohammad Dilshad, S. A. Mohiuddine, Bader Mufadhi Eid Albalawi, Mohammad Rehan Ajmal   +4 more
doaj   +2 more sources

Symbolic Methods Applied to a Class of Identities Involving Appell Polynomials and Stirling Numbers

Mathematics
In this paper, we present two symbolic methods, in particular, the method starting from the source identity, umbra identity, for constructing identities of s-Appell polynomials related to Stirling numbers and binomial coefficients.
Tian-Xiao He, Emanuele Munarini
doaj   +2 more sources

Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials

International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley   +1 more source

On Degenerate Poly‐Daehee Polynomials Arising from Lambda‐Umbral Calculus

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this article, we derived various identities between the degenerate poly‐Daehee polynomials and some special polynomials by using λ‐umbral calculus by finding the coefficients when expressing degenerate poly‐Daehee polynomials as a linear combination of degenerate Bernoulli polynomials, degenerate Euler polynomials, degenerate Bernoulli polynomials ...
Sang Jo Yun, Jin-Woo Park, M. M. Bhatti
wiley   +1 more source

q-Multiple Appell Polynomials [PDF]

, 2021
Master of Science in Mathematics. Institute of Graduate Studies and Research. Thesis (M.S.) - Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2021. Supervisor: Prof. Dr. Mehmet Ali Özarslan.In 1880, Paul Emile Appell
Çil, Merve
core  

Numerical Solution for Arbitrary Domain of Fractional Integro‐differential Equation via the General Shifted Genocchi Polynomials

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the interval defined in [0, 1].
Jian Rong Loh, Chang Phang, Abdulnasir Isah, Yusuf Gurefe   +3 more
wiley   +1 more source

Fock and Hardy spaces: Clifford Appell case

Mathematische Nachrichten, Volume 295, Issue 5, Page 834-860, May 2022., 2022
Abstract In this paper, we study a specific system of Clifford–Appell polynomials and, in particular, their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions.
Daniel Alpay, Kamal Diki, Irene Sabadini
wiley   +1 more source

Identities of Degenerate Poly‐Changhee Polynomials Arising from λ‐Sheffer Sequences

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In the 1970s, Gian‐Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim‐Kim, umbral calculus is generalized called λ‐umbral calculus. In this paper, we find some important relationships between degenerate Changhee polynomials and some important special polynomials by expressing the Changhee ...
Sang Jo Yun, Jin-Woo Park, Barbara Martinucci   +2 more
wiley   +1 more source