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 6,351 Downloads 11,910 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 418 Downloads 1,293 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 1,463 Downloads 3,344 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 6,787 Downloads 9,752 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 1,289 Downloads 2,304 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 277 Downloads 1,108 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 204 Downloads 961 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 395 Downloads 1,175 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 1,403 Downloads 3,999 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 320 Downloads 1,939 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 834 Downloads 3,296 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 3,070 Downloads 5,375 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 6,035 Downloads 13,786 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 3,658 Downloads 6,034 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 666 Downloads 1,842 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 300 Downloads 2,306 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 3,006 Downloads 4,097 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 2,041 Downloads 3,184 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 227 Downloads 942 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 1,836 Downloads 4,453 Views Citations

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