Results 71 to 80 of about 117,000 (133)

Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus

Mathematics
This article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Can Kızılateş, Cheon Seoung Ryoo   +4 more
doaj   +1 more source

Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Applied Mathematics in Science and Engineering
This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj   +1 more source

The Fueter-Sce Mapping and the Clifford-Appell Polynomials

, 2023
The Fueter-Sce theorem provides a procedure to obtain axially monogenic functions, which are in the kernel of generalized Cauchy-Riemann operator in Rn+1. This result is obtained by using two operators.
Adán, AG, Diki, K, De Martino, A
core   +1 more source

Fractional Operator Approach and Hybrid Special Polynomials: The Generalized Gould–Hopper–Bell-Based Appell Polynomials and Their Characteristics

Fractal and Fractional
This study introduces a novel generalized class of special polynomials using a fractional operator approach. These polynomials are referred to as the generalized Gould–Hopper–Bell-based Appell polynomials.
Rabeb Sidaoui, E. I. Hassan, Abdulghani Muhyi, Khaled Aldwoah, A. H. A. Alfedeel, Khidir Shaib Mohamed, Alawia Adam   +6 more
doaj   +1 more source

Appell-Type Changhee Polynomials in the Framework of Fibonomial Calculus

In this paper, Appell-type Changhee F-polynomials, which correspond of Appell-type Changhee polynomials in Fibonomial Calculus, are introduced. Furthermore, the Appell-type Changhee F-polynomial matrix is defined.
Çakır, Barış Can, Erkus-Duman, Esra
core   +1 more source

Exploring Extended Degenerate Bell-Based Appell Polynomials via Fractional Operators: Properties, Determinant Representations, and Numerical Illustrations

Mathematics
This paper introduces a new family of extended degenerate Bell-based Appell polynomials by applying Euler’s integral as a fractional operator to the Appell-type degenerate Bell polynomials.
Mohra Zayed, Ines Ben Omrane, Francesco Aldo Costabile, Mdi Begum Jeelani, Shahid Ahmad Wani   +4 more
doaj   +1 more source

Difference equations for a class of twice-iterated h-Appell sequences of polynomials

, 2019
In the present paper, we introduce a family of the twice-iterated h-Appell sequences of polynomials based upon the discrete Appell convolution of the h-Appell sequence of polynomials Qn(x).
Ozarslan, M. A., Yasar, Banu Yilmaz, Srivastava, H. M.   +2 more
core   +1 more source

Investigating the Properties and Dynamic Applications of Δ_h Legendre–Appell Polynomials

Mathematics
This research aims to introduce and examine a new type of polynomial called the Δh Legendre–Appell polynomials. We use the monomiality principle and operational rules to define the Δh Legendre–Appell polynomials and explore their properties.
Noor Alam, Shahid Ahmad Wani, Waseem Ahmad Khan, Hasan Nihal Zaidi   +3 more
doaj   +1 more source

Some properties of generelized hypergeometric Appell polynomials.

, 2019
Some properties of generelized hypergeometric Appell ...
Luno, N., Bedratyuk, L.
core  

Hahn-Appell polynomials and their d-orthogonality

, 2019
Recently, parametric (q,)-exponential functions were defined in [4]. In the present paper, we obtain non-parametric Hahn exponential functions by using the characteristic properties of the usual discrete and q-exponential functions.
Varma, Serhan, Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali   +2 more
core   +1 more source