Dergiler / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 1

Generating matrix functions for Chebyshev matrix polynomials of the second kind

Sayfa
25–32
Yayın Tarihi
2022-10-18
DOI
—
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Several families of bilinear and bilateral generating matrix functions for Chebyshev matrix polynomials of the second kind are derived.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the generating matrix function and recurrence relations for Chebyshev matrix polynomials of the second kind are obtained.
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Temel Bulgular & Veri:In this paper, the generating matrix function and recurrence relations for Chebyshev matrix polynomials of the second kind are obtained.
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Sonuç & Katkı:Several families of bilinear and bilateral generating matrix functions for Chebyshev matrix polynomials of the second kind are derived.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, the generating matrix function and recurrence relations for Chebyshev matrix polynomials of the second kind are obtained. Several families of bilinear and bilateral generating matrix functions for Chebyshev matrix polynomials of the second kind are derived.

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Bu Makaleye Atıf Yap

ÇEKİM, B., ALTIN, A. (2022). Generating matrix functions for Chebyshev matrix polynomials of the second kind. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 1, 25–32. https://ajindex.com/articles/530483

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Kaynakça (15)

  1. Altın, A., Çekim, B. and Erkus-Duman, E. Families of generating functions for the Jacobi and related matrix polynomials, Ars Combinatoria (in press)
  2. Batahan, R. S. A new extension of Hermite matrix polynomials and its applications, Linear Algebra and its Applications 419, 82-92, 2006
  3. Defez, E., Garcia-Honrubia, M. and Villanueva, R.J. A procedure for computing the exponential of a matrix using Hermite matrix polynomials, Far East J. Applied Mathematics 6(3), 217-231, 2002
  4. Defez, E. and Jödar, L. Some applications of the Hermite matrix polynomials series expansions, J. Comp. Appl. Math. 99, 105-117, 1998
  5. Defez, E., Jödar, E. and Law, A. Jacobi matrix differential equation, polynomial solutions and their properties, Computers and Mathematics with Applications 48, 789-803, 2004
  6. Dunford, N. and Schwartz, J. Linear Operators. Vol. I (Interscience, New York, 1957)
  7. Jödar, L. and Company, R. Hermite matrix polynomials and second order matrix differential equations, J. Approx. Theory Appl. 12(2), 20-30, 1996
  8. Jödar, L., Company, R. and Navarro, E. Laguerre matrix polynomials and system of second-order differential equations, Appl. Num. Math. 15, 53-63, 1994
  9. Jödar, L., Company, R. and Ponsoda, E. Orthogonal matrix polynomials and systems of second order differential equations, Differential Equations and Dynamical Systems 3, 269-288, 1996
  10. Jödar, L. and Cortes, J. C. On the hypergeometric matrix function, J. Comput. Appl. Math. 99, 205-217, 1998
  11. Jödar, L. and Cortes, J. C. Some properties of Gamma and Beta matrix functions, Appl. Math. Lett. 11 (1), 89-93, 1998
  12. Jödar, L. and Defez, E. Chebyshev matrix polynomials and second order matrix differential equations, Utilitias Mathematica 61, 107-123, 2002
  13. Jödar, L., Defez, E. and Ponsoda, E. Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory ®,nd applications, J. Approx. Theory Appl. 12 (1), 96— 115, 1996
  14. Lancaster, P. Theory of Matrices (Academic Press, New York, 1969)
  15. Sayyed, K.A. M., Metwally, M.S. and Batahan, R. S. Gegenbauer matrix polynomials and second order matrix differential equations, Divulg. Mat. 12(2), 101-115, 2004.