Results 11 to 20 of about 3,034 (119)
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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On Generating Relations Involving Generalized Gegenbauer Polynomials [PDF]
Georgian Mathematical Journal, 2006 Abstract In this paper, generating relations involving generalized Gegenbauer polynomials are obtained by constructing a three-dimensional Lie algebra isomorphic to special linear algebra sl(2). Further, a number of new interesting relations involving various generalized polynomials are obtained as applications of these generating ...
Khan, Subuhi +2 more
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Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials [PDF]
ISRN Algebra, 2011 Here, we present a connection between a sequence of polynomials generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials. Many new and known transfer formulas between non-Gegenbauer-Humbert polynomials and generalized Gegenbauer-Humbert polynomials are given.
Tian-Xiao He, Peter J.-S. Shiue
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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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Bivariate Generalized Shifted Gegenbauer Orthogonal System
Journal of Mathematics, 2021 For K0,K1≥0, λ>−1/2, we examine Cr∗λ,K0,K1x, generalized shifted Gegenbauer orthogonal polynomials, with reference to the weight Wλ,K0,K1x=2λΓ2λ/Γλ+1/22x−x2λ−1/2Ix∈0,1dx+K0δ0+K1δ1, where the indicator function is denoted by Ix∈0,1 and δx indicates the ...
Mohammad A. Alqudah +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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Generalized Mixed Type Bernoulli-Gegenbauer Polynomials
Kragujevac Journal of Mathematics, 2023 The generalized mixed type Bernoulli-Gegenbauer polynomials of order α >−1/2 are special polynomials obtained by use of the generating function method. These polynomials represent an interesting mixture between two classes of special functions, namely generalized Bernoulli polynomials and Gegenbauer polynomials.
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IET Microwaves, Antennas &Propagation, Volume 17, Issue 15, Page 1093-1105, December 2023., 2023 The authors investigate the line source diffraction by a circular strip with different impedance value on inner and outer surfaces. As it is noticed, the resonance value becomes higher for the boundary condition corresponding to material in between PEC and PMC.
Vasil Tabatadze +2 more
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Studies in Sums of Finite Products of the Second, Third, and Fourth Kind Chebyshev Polynomials
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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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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