Results 11 to 20 of about 527 (171)

Pseudo-Lucas Functions of Fractional Degree and Applications

Axioms, 2021
In a recent article, the first and second kinds of multivariate Chebyshev polynomials of fractional degree, and the relevant integral repesentations, have been studied. In this article, we introduce the first and second kinds of pseudo-Lucas functions of
Clemente Cesarano, Pierpaolo Natalini, Paolo Emilio Ricci   +2 more
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Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials [PDF]

Mathematics, 2018
In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of finite products of polynomials as linear combinations of Bernoulli polynomials.
Taekyun Kim, Dae San Kim, Lee-Chae Jang, Gwan-Woo Jang   +3 more
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On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions

Journal of Function Spaces, 2021
In this work, by considering the Chebyshev polynomial of the first and second kind, a new subclass of univalent functions is defined. We obtain the coefficient estimate, extreme points, and convolution preserving property.
Shahram Najafzadeh, Mugur Acu
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Hypergeometric connections between balancing polynomials and Chebyshev polynomials of first and second kinds

Armenian Journal of Mathematics, 2022
In the present study, we find several connections between balancing polynomials and the Chebyshev polynomials of the first and second kinds. The Chebyshev polynomials of the first and second kinds are expressed as the sum of two terms of balancing polynomials with hypergeometric coefficients.
Behera, A., Ray, P. K.
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Powers Sums of the First and Second Kinds of Chebyshev Polynomials

Iranian Journal of Science and Technology, Transactions A: Science, 2020
Odd powers of even-indexed Chebyshev polynomials of the second kind and odd powers of odd-indexed Chebyshev polynomials of the first kind were computed. In this paper, we evaluate all of the rest kinds of power sums of the Chebyshev polynomials. We present the relationships between the Chebyshev polynomials and general Fibonacci, Lucas sequences.
Kılıç, Emrah, Koparal, Sibel, Ömür, Neşe   +2 more
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Integral Representations for Products of Two Bessel or Modified Bessel Functions

Mathematics, 2019
The first part of the article contains integral expressions for products of two Bessel functions of the first kind having either different integer orders or different arguments.
Dragana Jankov Maširević, Tibor K. Pogány   +1 more
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An Identity Involving the Integral of the First-Kind Chebyshev Polynomials

Mathematical Problems in Engineering, 2018
We used the algebraic manipulations and the properties of Chebyshev polynomials to obtain an interesting identity involving the power sums of the integral of the first-kind Chebyshev polynomials and solved an open problem proposed by Wenpeng Zhang and Tingting Wang.
Xiao Wang, Jiayuan Hu
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The theorem about the transformer excitation current waveform mapping into the dynamic hysteresis loop branch for the sinusoidal magnetic flux case [PDF]

Serbian Journal of Electrical Engineering, 2015
This paper analyses aspects of the approximation theory application on the certain subsets of the measured samples of the transformer excitation current and the sinusoidal magnetic flux.
Petrović Nenad, Pjevalica Velibor, Vujičić Vladimir   +2 more
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INVESTIGATION OF THE KOLMOGOROV-WIENER FILTER FOR CONTINUOUS FRACTAL PROCESSES ON THE BASIS OF THE CHEBYSHEV POLYNOMIALS OF THE FIRST KIND

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020
This paper is devoted to the investigation of the Kolmogorov-Wiener filter weight function for continuous fractal processes with a power-law structure function.
Vyacheslav Gorev, Alexander Gusev, Valerii Korniienko   +2 more
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A characterization of continuous q-Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials

Journal of Mathematical Analysis and Applications, 2022
The purpose of this note is to characterize those orthogonal polynomials sequences $(P_n)_{n\geq0}$ for which $$ π(x)\mathcal{D}_q P_n(x)=(a_n x+b_n)P_n(x)+c_n P_{n-1}(x),\quad n=0,1,2,\dots, $$ where $\mathcal{D}_q$ is the Askey-Wilson operator, $π$ is a polynomial of degree at most 2, and $(a_n)_{n\geq0}$, $(b_n)_{n\geq0}$ and $(c_n)_{n\geq0}$ are ...
K. Castillo, D. Mbouna, J. Petronilho
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