Results 31 to 40 of about 2,576 (164)
On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials [PDF]
, 2012 The fact that generalized Appell sequences of monogenic polynomials in the setting of hypercomplex function theory also satisfy a corresponding binomial type theorem allows to obtain their explicit structure.
Cruz, Carla +2 more
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Matrix-Valued hypergeometric Appell-Type polynomials
Electronic Research Archive, 2022 <abstract><p>In recent years, much attention has been paid to the role of special matrix polynomials of a real or complex variable in mathematical physics, especially in boundary value problems. In this article, we define a new type of matrix-valued polynomials, called the first Appell matrix polynomial of two complex variables.
Muajebah Hidan +3 more
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Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials
Mathematics, 2023 In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and ...
Dionisio Peralta +2 more
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Fractal and Fractional, 2023 This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials.
Mohra Zayed +2 more
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Matrix approach to Frobenius-Euler polynomials [PDF]
, 2014 In the last two years Frobenius-Euler polynomials have gained renewed interest and were studied by several authors. This paper presents a novel approach to these polynomials by treating them as Appell polynomials.
Malonek, Helmuth Robert, Tomaz, Graça
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Bivariate q-Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel +3 more
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New Convolution Identities for Hypergeometric Bernoulli Polynomials
, 2014 New convolution identities of hypergeometric Bernoulli polynomials are presented. Two different approaches to proving these identities are discussed, corresponding to the two equivalent definitions of hypergeometric Bernoulli polynomials as Appell ...
Cheong, Long G., Nguyen, Hieu D.
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On paravector valued homogeneous monogenic polynomials with binomial expansion [PDF]
, 2012 The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized Appell polynomials in the context of Clifford analysis.
Falcão, M. I., Malonek, H. R.
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Wronskian Appell polynomials and symmetric functions [PDF]
Advances in Applied Mathematics, 2019 We study Wronskians of Appell polynomials indexed by integer partitions. These families of polynomials appear in rational solutions of certain Painlev equations and in the study of exceptional orthogonal polynomials. We determine their derivatives, their average and variance with respect to Plancherel measure, and introduce several recurrence ...
Niels Bonneux +3 more
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A New Family of Appell-Type Changhee Polynomials with Geometric Applications
AxiomsRecently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials.
Rashad A. Al-Jawfi +2 more
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