Results 11 to 20 of about 2,576 (164)

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

A Note on q-Fubini-Appell Polynomials and Related Properties

Journal of Function Spaces, 2021
The present article is aimed at introducing and investigating a new class of q-hybrid special polynomials, namely, q-Fubini-Appell polynomials. The generating functions, series representations, and certain other significant relations and identities of ...
Abdulghani Muhyi, Serkan Araci
doaj   +1 more source

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

Sixth‐Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels. Using the separation of variables, the nonlinear mixed partial integrodifferential equation is converted to a nonlinear Fredholm integral equation. Then, using different numerical methods, the Bernoulli
Abeer M. Al-Bugami, Mohamed A. Abdou, Amr M. S. Mahdy, Adel A. Attiya   +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

Generalized Fubini Apostol‐Type Polynomials and Probabilistic Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
The paper aims to introduce and investigate a new class of generalized Fubini‐type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials.
Rabab S. Gomaa, Alia M. Magar, Theodore E. Simos   +2 more
wiley   +1 more source

A Specific Method for Solving Fractional Delay Differential Equation via Fraction Taylor’s Series

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
It is well known that the appearance of the delay in the fractional delay differential equation (FDDE) makes the convergence analysis very difficult. Dealing with the problem with the traditional reproducing kernel method (RKM) is very tricky. The feature of this paper is to gain a more credible approximate solution via fractional Taylor’s series (FTS).
Ming-Jing Du, Ahmed Salem
wiley   +1 more source

A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new. Four theorems have also been defined under the generalized fractional integral operators that provide an image formula for the extension of new Gauss ...
Vandana Palsaniya, Ekta Mittal, D. L. Suthar, Sunil Joshi, Serkan Araci   +4 more
wiley   +1 more source