Everything about Chebyshev polynomials

🧭 Start here: a 6-step reading path

1. Read the overview: Chebyshev polynomialsA 5-minute orientation
2. Skim a recent paper: Comparison of Sequence of Physical Processes (SPP) and Fourier Transform Coupled with Chebyshev Polynomials (FTC) methods to Interpret Large Amplitude Oscillatory Shear (LAOS) Response of Viscoelastic Doughs and Viscous Pectin SolutionInfluential work since 2022
3. Pick up a classic book: Chebyshev polynomialsThe most-reprinted book on the subject
4. Read the landmark paper: Cosmographic analysis with Chebyshev polynomialsCited 138 times
5. Go sideways: Legendre polynomialsA closely related topic
6. Go sideways: Discrete Chebyshev polynomialsA closely related topic

🏆 Landmark papers (most cited)

• Cosmographic analysis with Chebyshev polynomials

  Salvatore Capozziello, Rocco D'Agostino, Orlando Luongo · 2018 · Monthly Notices of the Royal Astronomical Society · 138 citations

• Forbidden subsequences and Chebyshev polynomials

  Timothy Chow, Julian West · 1999 · Discrete Mathematics · 38 citations

• Estrada index and Chebyshev polynomials

  Yuval Ginosar, Ivan Gutman, Toufik Mansour · 2008 · Chemical Physics Letters · 25 citations

• Chebyshev Polynomials on Compact Sets

  Vilmos Totik · 2013 · Potential Analysis · 25 citations

• Resultants of Chebyshev Polynomials

  Jemal Gishe, Mourad E. H. Ismail · 2008 · Zeitschrift für Analysis und ihre Anwendungen · 23 citations

• On modified Chebyshev polynomials

  Roman Wituła, Damian Słota · 2006 · Journal of Mathematical Analysis and Applications · 22 citations

• Counting on Chebyshev Polynomials

  Arthur T. Benjamin, Daniel Walton · 2009 · Mathematics Magazine · 19 citations

• On integer Chebyshev polynomials

  Laurent Habsieger, Bruno Salvy · 1997 · Mathematics of Computation · 18 citations

🆕 Influential since 2022

• Comparison of Sequence of Physical Processes (SPP) and Fourier Transform Coupled with Chebyshev Polynomials (FTC) methods to Interpret Large Amplitude Oscillatory Shear (LAOS) Response of Viscoelastic Doughs and Viscous Pectin Solution

  Merve Yildirim Erturk, Simon A. Rogers, Jozef Kokini · 2022 · Food Hydrocolloids · 59 citations

• Chebyshev Polynomial Based Emergency Conditions With Authentication Scheme for 5G-Assisted Vehicular Fog Computing

  Mahmood A. Al-Shareeda, Tarek Gaber, Mohammed A. Alqarni · 2025 · IEEE Transactions on Dependable and Secure Computing · 59 citations

• A novel fractional structural adaptive grey Chebyshev polynomial Bernoulli model and its application in forecasting renewable energy production of China

  Yong Wang, Rui Nie, Pei Chi · 2022 · Expert Systems with Applications · 57 citations

• Frequency‐domain multireceiver synthetic aperture sonar imagery with Chebyshev polynomials

  Xuebo Zhang, Peixuan Yang, Haixin Sun · 2022 · Electronics Letters · 49 citations

• Chebyshev Polynomial-Based Fog Computing Scheme Supporting Pseudonym Revocation for 5G-Enabled Vehicular Networks

  Zeyad Ghaleb Al-Mekhlafi, Mahmood A. Al-Shareeda, Selvakumar Manickam · 2023 · Electronics · 45 citations

📚 Books worth reading

• Chebyshev polynomialsTheodore J. Rivlin · 1974
• 📕The Chebyshev-Legendre methodWai Sun Don · 1993
• 📕The pseudo-inverse of the derivative operator in polynomial spectral methodsJ. Lončarić · 1997
• 📕Chebyshev series for mathematical functionsC. W. Clenshaw · 1962
• Dickson polynomialsRudolf Lidl · 1993
• Topics in polynomials of one and several variables and their applicationsP. L. Chebyshev, Themistocles M. Rassias · 1993
• 📕Tables for Lagrangian interpolation using Chebyshev pointsHerbert E. Salzer, Norman Levine · 1984
• 📕Chebyshev polynomials in numerical analysis [by] L. Fox and I.B. ParkerLeslie Fox · 1968

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

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