The Shifted Chebyshev Polynomials - Articles - Scientific Research Publishing

Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid (Articles)

Mustafa GÜLSU, Yalçn ÖZTÜRK

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14024 6,444 Downloads 12,058 Views Citations
Chebyshev Biorthogonal Multiwavelets and Approximation (Articles)

Xiaolin Zhou, Qun Lin

Journal of Applied Mathematics and Physics Vol.9 No.2, February 7, 2021

DOI: 10.4236/jamp.2021.92017 456 Downloads 1,372 Views Citations
This article belongs to the Special Issue on Numerical Simulation and Its Applications
Numerical Solution for Initial and Boundary Value Problems of Fractional Order (Articles)

A. M. Kawala

Advances in Pure Mathematics Vol.8 No.12, December 19, 2018

DOI: 10.4236/apm.2018.812051 1,498 Downloads 3,462 Views Citations
Chebyshev Polynomials for Solving a Class of Singular Integral Equations (Articles)

Samah M. Dardery, Mohamed M. Allan

Applied Mathematics Vol.5 No.4, March 18, 2014

DOI: 10.4236/am.2014.54072 6,842 Downloads 9,882 Views Citations
Application of the Economization of Power Series to Solving the Schrödinger Equation for the Gaussian Potential via the Asymptotic Iteration Method (Articles)

Hippolyte Nyengeri, Benoit Manariyo, Rénovat Nizigiyimana, Salomon Mugisha

Open Access Library Journal Vol.7 No.7, July 23, 2020

DOI: 10.4236/oalib.1106505 1,301 Downloads 2,386 Views Citations
Lucas Symbolic Formulae and Generating Functions for Chebyshev Polynomials (Articles)

Do Tan Si

Journal of High Energy Physics, Gravitation and Cosmology Vol.7 No.3, June 25, 2021

DOI: 10.4236/jhepgc.2021.73052 299 Downloads 1,181 Views Citations
Chebyshev Polynomial-Based Analytic Solution Algorithm with Efficiency, Stability and Sensitivity for Classic Vibrational Constant Coefficient Homogeneous IVPs with Derivative Orders n, n-1, n-2 (Articles)

David P. Stapleton

American Journal of Computational Mathematics Vol.12 No.4, October 19, 2022

DOI: 10.4236/ajcm.2022.124023 247 Downloads 1,037 Views Citations
Convergence Phenomenon with Fourier Series of $t g (\frac{x}{2})$ and Alike (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.14 No.7, July 29, 2024

DOI: 10.4236/apm.2024.147032 615 Downloads 1,526 Views Citations
Factorization of Cyclotomic Polynomials with Quadratic Radicals in the Coefficients (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.7 No.9, September 27, 2017

DOI: 10.4236/apm.2017.79032 1,427 Downloads 4,122 Views Citations
Duality between Bessel Functions and Chebyshev Polynomials in Expansions of Functions (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.13 No.8, August 30, 2023

DOI: 10.4236/apm.2023.138034 350 Downloads 2,074 Views Citations
Chebyshev Polynomials with Applications to Two-Dimensional Operators (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.9 No.12, December 24, 2019

DOI: 10.4236/apm.2019.912050 851 Downloads 3,403 Views Citations
Operator Methods and SU(1,1) Symmetry in the Theory of Jacobi and of Ultraspherical Polynomials (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.7 No.2, February 16, 2017

DOI: 10.4236/apm.2017.72012 3,134 Downloads 5,500 Views Citations
This article belongs to the Special Issue on Group Theory and Its Applications
Legendre Approximation for Solving a Class of Nonlinear Optimal Control Problems (Articles)

Emran Tohidi, Omid Reza Navid Samadi, Mohammad Hadi Farahi

Journal of Mathematical Finance Vol.1 No.1, June 1, 2011

DOI: 10.4236/jmf.2011.11002 6,070 Downloads 13,874 Views Citations
Generalized Form of Hermite Matrix Polynomials via the Hypergeometric Matrix Function (Articles)

Raed S. Batahan

Advances in Linear Algebra & Matrix Theory Vol.4 No.2, June 23, 2014

DOI: 10.4236/alamt.2014.42012 3,709 Downloads 6,144 Views Citations
Approach to Riemann Hypothesis by Combined Commensurable Step Function Approximation with Bonnet Method (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.10 No.5, May 6, 2020

DOI: 10.4236/apm.2020.105013 682 Downloads 1,930 Views Citations
Power and Chebyshev Series Transformation Formulas with Applications to Solving Ordinary Differential Equations via the Fröbenius and Taylor’s Methods (Articles)

Hippolyte Nyengeri, Rénovat Nizigiyimana, Jean-Pierre Mutankana, Henry Bayaga, Ferdinand Bayubahe

Open Access Library Journal Vol.8 No.2, February 26, 2021

DOI: 10.4236/oalib.1107142 306 Downloads 2,398 Views Citations
New Extension of Unified Family Apostol-Type of Polynomials and Numbers (Articles)

Beih El-Sayed El-Desouky, Rabab Sabry Gomaa

Applied Mathematics Vol.6 No.9, August 5, 2015

DOI: 10.4236/am.2015.69134 3,041 Downloads 4,179 Views Citations
Polar Derivative Versions of Polynomial Inequalities (Articles)

Barchand Chanam

Advances in Pure Mathematics Vol.5 No.12, October 20, 2015

DOI: 10.4236/apm.2015.512068 2,070 Downloads 3,273 Views Citations
A Relationship between the Partial Bell Polynomials and Alternating Run Polynomials (Articles)

Yanan Feng, Zhe Wang

Open Journal of Discrete Mathematics Vol.13 No.2, April 28, 2023

DOI: 10.4236/ojdm.2023.132005 271 Downloads 1,023 Views Citations
Existence of Many Blue Shifted Galaxies in the Universe by Dynamic Universe Model Came True (Articles)

Satyavarapu Naga Parameswara Gupta

Open Journal of Modelling and Simulation Vol.5 No.1, January 23, 2017

DOI: 10.4236/ojmsi.2017.51009 1,869 Downloads 4,605 Views Citations

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