AIMS MathematicsThe orthogonal polynomials approach with Gegenbauer polynomials is an effective tool for analyzing mixed integral equations (MIEs) due to their orthogonality qualities.
Ahmad Alalyani +2 more
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Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions [PDF]
HeliyonThis study introduces a new class of bi-univalent functions in the open disk using q-Borel distribution series and q-Gegenbauer polynomials. It provides estimates for the Taylor coefficients |μ2| and |μ3| for this family of functions, as well as ...
T. Al-Hawary +5 more
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COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS
Проблемы анализа, 2021 The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in 𝔇 = {𝑧 ∈ C : |𝑧| < 1} linked with Gegenbauer polynomials.
S. R. Swamy, S. Yalçın
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An application of the Mittag-Leffler-type Borel distribution and Gegenbauer polynomials on a certain subclass of bi-univalent functions. [PDF]
HeliyonHussen A.
europepmc +3 more sources
A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps [PDF]
AIMS Mathematics, 2023 We present a novel direct integral pseudospectral (PS) method (a direct IPS method) for solving a class of continuous-time infinite-horizon optimal control problems (IHOCs).
Kareem T. Elgindy, Hareth M. Refat
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On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials
Pan-American Journal of MathematicsRecent direction of studies shows that there is a kin connection between regular functions and orthogonal polynomials. In this paper, we study a new class of regular and bi-univalent functions that involve the familiar Gegenbauer polynomials.
Rasheed Olawale Ayinla +1 more
doaj +4 more sources
On the L 2 -norm of Gegenbauer polynomials. [PDF]
Math Sci (Karaj), 2022 AbstractGegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their $$L^2$$ L 2 -norm.
Ferizović D.
europepmc +6 more sources
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
doaj +2 more sources
Gegenbauer polynomials and the Fueter theorem [PDF]
Complex Variables and Elliptic Equations, 2013 The Fueter theorem states that regular (resp. monogenic) functions in quaternionic (resp. Clifford) analysis can be constructed from holomorphic functions in the complex plane, hereby using a combination of a formal substitution and the action of an appropriate power of the Laplace operator.
David Eelbode +2 more
openalex +5 more sources
New fractional-order shifted Gegenbauer moments for image analysis and recognition [PDF]
Journal of Advanced Research, 2020 Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments.
Khalid M. Hosny +2 more
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