Results 81 to 90 of about 112,843 (166)
Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus
MathematicsThis 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 +4 more
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A unified matrix approach to the representation of Appell polynomials [PDF]
, 2014 In this paper we propose a unified approach to matrix representations of different types of Appell polynomials. This approach is based on the creation matrix - a special matrix which has only the natural numbers as entries and is closely related to the ...
Tomaz, Graça +5 more
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Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
Applied Mathematics in Science and EngineeringThis 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
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Truncated-Exponential-Based Appell-Type Changhee Polynomials
, 2020 The truncated exponential polynomials em(x) (1), their extensions, and certain newly-introduced polynomials which combine the truncated exponential polynomials with other known polynomials have been investigated and applied in various ways. In this paper,
Tabinda Nahid +2 more
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On orthogonal polynomials and related discrete integrable systems [PDF]
, 2006 Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
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Fractal and FractionalThis 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 +6 more
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Noncentral Limit Theorems and Appell Polynomials
The Annals of Probability, 1987 Let \(n\geq 1\) be an integer and \(\{\xi_ i\}^{\infty}_{i=-\infty}\) an i.i.d. sequence of random variables with mean 0 and E \(\xi\) \({}_ i^{2n}
Avram, Florin, Taqqu, Murad S.
openaire +2 more sources
A Study of the q-Truncated Exponential–Appell Polynomials
MathematicsThis article introduces the 2-variable q-truncated exponential–Appell (q-trunc. exp. Appell) polynomials and investigates their fundamental properties. Specific results are derived for the q-trunc. exp.
Francesco Aldo Costabile +2 more
doaj +1 more source
MathematicsThis 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 +4 more
doaj +1 more source
Investigating the Properties and Dynamic Applications of Δh Legendre–Appell Polynomials
MathematicsThis 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 +3 more
doaj +1 more source