Results 1 to 10 of about 320 (175)
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 ...
Shahid Ahmad Wani +2 more
exaly +5 more sources
A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
Axioms, 2023 Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials.
Gharib Gharib +2 more
exaly +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 +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
doaj +2 more sources
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
doaj +2 more sources
Adomian decomposition method by Gegenbauer and Jacobi polynomials
International Journal of Computer Mathematics, 2011 In this paper, orthogonal polynomials on [–1,1] interval are used to modify the Adomian decomposition method (ADM). Gegenbauer and Jacobi polynomials are employed to improve the ADM and compared with the method of using Chebyshev and Legendre polynomials.
Yücel Cenesiz
exaly +3 more sources
An integral formula for generalized Gegenbauer polynomials and Jacobi polynomials
Advances in Applied Mathematics, 2002 In this interesting paper the author studies generalized Gegenbauer polynomials that are orthogonal with respect to the weight function \(|x|^{2\mu}\) \((1-x^2)^{\lambda- {1\over 2}}\). First, an important integral formula is established for these polynomials that serves as a transformation between \(h\)-harmonics of different parameters and contains ...
exaly +2 more sources
A NEW EXTENSIONS OF GEGENBAUER POLYNOMIALS
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main aim of this paper is to introduce new extensions of Gegenbauer polynomials of one and two variables by using the extended Gamma function given by Chaudhry and Zubair [3]. Some properties of these extended polynomials such as generating functions,
Ahmed Ali Atash, Ahmed Ali Al-Gonah
doaj +1 more source
Zeros of Sobolev Orthogonal Polynomials of Gegenbauer Type
Journal of Approximation Theory, 2002 This paper is devoted to the study of the location of the zeros of the Sobolev polynomials \(S_n\), where \(\{S_n\}_n\) are the monic orthogonal polynomial sequences with respect to the Sobolev inner product. First the author recalls some well known properties of Gegenbauer polynomials, which are used in the following.
exaly +3 more sources
Analytic Univalent fucntions defined by Gegenbauer polynomials [PDF]
Journal of Mahani Mathematical Research, 2023 The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time.
Sunday Olatunji
doaj +1 more source