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All issues Volume 3 (2020) 4open, 3 (2020) 2 References
Open Access
Review
Issue
4open
Volume 3, 2020
Article Number 2
Number of page(s) 19
Section Mathematics - Applied Mathematics
DOI https://doi.org/10.1051/fopen/2020001
Published online 27 April 2020
  1. Ricci PE (2018), Complex spirals and pseudo-Chebyshev polynomials of fractional degree. Symmetry 10, 671. [Google Scholar]
  2. Cesarano C, Ricci PE (2019), Orthogonality properties of the pseudo-Chebyshev functions (variations on a Chebyshev’s theme). Mathematics 7, 180. https://doi.org/10.3390/math7020180. [CrossRef] [Google Scholar]
  3. Cesarano C, Pinelas S, Ricci PE (2019), The third and fourth kind pseudo-Chebyshev polynomials of half-integer degree. Symmetry 11, 274. https://doi.org/10.3390/sym11020274. [Google Scholar]
  4. Aghigh K, Masjed-Jamei M, Dehghan M (2008), A survey on third and fourth kind of Chebyshev polynomials and their applications. Appl Math Comput 199, 2–12. [Google Scholar]
  5. Heath TL (1897), The Works of Archimedes, Cambridge Univ. Press, Google Books. [Google Scholar]
  6. Archibald RC (1920), Notes on the logarithmic spiral, golden section and the Fibonacci series, in: J. Hambidge (Ed.), Dynamic symmetry, Yale Univ. Press, New Haven, pp. 16–18. [Google Scholar]
  7. Rivlin TJ (1974), The Chebyshev polynomials, J. Wiley and Sons, New York. [Google Scholar]
  8. Ricci PE (1974–1975), Alcune osservazioni sulle potenze delle matrici del secondo ordine e sui polinomi di Tchebycheff di seconda specie. Atti Accad Sci Torino 109, 405–410. [Google Scholar]
  9. Ricci PE (1976), Sulle potenze di una matrice. Rend Mat 9, 179–194. [Google Scholar]
  10. Ricci PE (1978), I polinomi di Tchebycheff in più variabili. Rend Mat 11, 295–327. [Google Scholar]
  11. Srivastava HM, Manocha HL (1984), A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), J. Wiley and Sons, New York, Chichester, Brisbane and Toronto. [Google Scholar]
  12. Gautschi W (1992), On mean convergence of extended Lagrange interpolation. J Comput Appl Math 43, 19–35. [Google Scholar]
  13. Doha EH, Abd-Elhameed WM, Alsuyuti M.M. (2015), On using third and fourth kinds Chebyshev polynomials for solving the integrated forms of high odd-order linear boundary value problems. J Egypt Math Soc 23, 397–405. [CrossRef] [Google Scholar]
  14. Mason JC (1993), Chebyshev polynomials of the second, third and fourth kinds in approximation, indefinite integration, and integral transforms. J Comput Appl Math 49, 169–178. [Google Scholar]
  15. Mason JC, Handscomb DC (2003), Chebyshev Polynomials, Chapman and Hall, New York, NY, CRC, Boca Raton. [Google Scholar]
  16. Brandi P, Ricci PE (2019), Some properties of the pseudo-Chebyshev polynomials of half-integer degree. Tbilisi Math J 12, 111–121. [CrossRef] [Google Scholar]
  17. Ricci PE (1986), Una proprietà iterativa dei polinomi di Chebyshev di prima specie in più variabili. Rend Mat Appl 6, 555–563. [Google Scholar]
  18. Butzer P, Jongmans F (1999), P.L. Chebyshev (1821–1894). A guide to his life and work. J Approx Theory 96, 111–138. [Google Scholar]
  19. Kirchberger P (1903), Űber Tschebyscheffsche Annäherungsmethoden (Diss., Gött. 1902). Math. Ann. 57, 509–540. [Google Scholar]
  20. Borel E (1905), Leçons sur les fonctions de variables réelles et les développements en série de polynomes, Gauthier-Villars, Paris. [Google Scholar]
  21. Carleson L (1966), On convergence and growth of partial sums of Fourier series. Acta Math 116, 135–157. [CrossRef] [Google Scholar]

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