Results 41 to 50 of about 438,335 (228)
Contemporary Mathematics, 2023 This paper presents a numerical strategy for solving the nonlinear time fractional Burgers's equation (TFBE) to obtain approximate solutions of TFBE. During this procedure, the collocation approach is used.
E. Magdy +4 more
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Fourier Series of Gegenbauer-Sobolev Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given. Moreover, we analyze the convergence of the partial sum operators.
Ciaurri, Ó., Mínguez, J.
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Applications of Gegenbauer Polynomials to a Certain Subclass of p-Valent Functions
WSEAS Transactions on Mathematics, 2023 The paper presents a subclass of p-valent functions defined by the means of Gegenbauer Polynomials in the open unit disk D. We investigate the properties of this new class and provide estimations for the modulus of the coefficients ap+1 and ap+2, where p
Waleed Al-Rawashdeh
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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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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
wiley +1 more source
Symmetry, 2023 In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent functions using the q-derivative operator ...
S. Kazımoğlu, E. Deniz, L. Cotîrlă
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Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023 The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
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Symmetry, 2023 In this research, a novel linear operator involving the Borel distribution and Mittag-Leffler functions is introduced using Hadamard products or convolutions.
Abdullah Alatawi +2 more
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Onset of Convection in Rotating Spherical Shells: Variations With Radius Ratio
Earth and Space Science, Volume 10, Issue 1, January 2023., 2023 Abstract Convection in rotating spherical layers of fluid is ubiquitous in spherical astrophysical objects like planets and stars. A complete understanding of the magnetohydrodynamics requires understanding of the linear problem—when convection onsets in these systems.
A. Barik +4 more
wiley +1 more source
Matrix-Valued Gegenbauer-Type Polynomials [PDF]
Constructive Approximation, 2017 We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter $$\nu >0$$ .
Koelink, Erik +2 more
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