On the Generalized Class of Multivariable Humbert-Type Polynomials
International Journal of Mathematics and Mathematical SciencesThe present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini +3 more
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Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination [PDF]
Axioms, 2023 Gegenbauer polynomials constitute a numerical tool that has attracted the interest of many function theorists in recent times mainly due to their real-life applications in many areas of the sciences and engineering.
Sunday Olufemi Olatunji +2 more
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Studies in Sums of Finite Products of the Second, Third, and Fourth Kind Chebyshev Polynomials [PDF]
Mathematics, 2020 In this paper, we consider three sums of finite products of Chebyshev polynomials of two different kinds, namely sums of finite products of the second and third kind Chebyshev polynomials, those of the second and fourth kind Chebyshev polynomials, and ...
Taekyun Kim +3 more
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On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2 [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
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Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
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The generalized relativistic harmonic oscillator with the Snyder-de Sitter algebra
Results in Physics, 2023 The Snyder-de Sitter (SdS) algebra is a model of non-commutative space–time admitting three fundamental parameters: the speed of light, the Planck mass and the cosmological constant, and therefore can be seen as an example of triply special relativity ...
A. Andolsi +3 more
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ON GENERATING FUNCTIONS OF MODIFIED GEGENBAUER POLYNOMIALS [PDF]
International Journal of Pure and Apllied Mathematics, 2013 Abstract: In this article, we have obtained some novel theorems on generating functions (both bilateral and mixed trilateral) of modified Gegenbauer polynomials by introducing a partial differential operator obtained by single interpretation to the index of the polynomial under consideration in Weisner’s group-theoretic method [2]. Furthermore, we have
S. Alam, A.K. Chongdar
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Fractional‐order generalized Laguerre moments and moment invariants for grey‐scale image analysis
IET Image Processing, 2021 Here, a new set of fractional‐order moments, named fractional‐order generalized Laguerre moments (FGLM), is introduced. These proposed moments are defined on the Cartesian coordinate system and their basis functions are represented by the fractional ...
Rachid Benouini +3 more
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The generalized gegenbauer - humberts wavelet for solving fractional differential equations [PDF]
, 2020 In this paper we present a new method of wavelets, based on generalized Gegenbauer-Humberts polynomials, named generalized Gegenbauer-Humberts wavelets. The operational matrix of integration are derived.
Alkhalissi, Jumana H. S. +3 more
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On generalization of extended Gegenbauer polynomials of two variables
Open Journal of Mathematical Analysis, 2021 Recently, many extensions of some special functions are defined by using the extended Beta function. In this paper, we introduce a new generalization of extended Gegenbauer polynomials of two variables by using the extended Gamma function. Some properties of these generalized polynomials such as integral representation, recurrence relation and ...
Ahmed Ali Al-Gonah, Ahmed Ali Atash
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