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Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT

Year 2012, Volume: 41 Issue: 1, 25 - 32, 01.01.2012

References

  • Altın, A., C¸ ekim, B. and Erkus-Duman, E. Families of generating functions for the Jacobi and related matrix polynomials, Ars Combinatoria (in press).
  • Batahan, R. S. A new extension of Hermite matrix polynomials and its applications, Linear Algebra and its Applications 419, 82–92, 2006.
  • Defez, E., Garcia-Honrubia, M. and Villanueva, R. J. A procedure for computing the expo- nential of a matrix using Hermite matrix polynomials, Far East J. Applied Mathematics 6(3), 217–231, 2002.
  • Defez, E. and J´odar, L. Some applications of the Hermite matrix polynomials series expan- sions, J. Comp. Appl. Math. 99, 105–117, 1998.
  • Defez, E., J´odar, E. and Law, A. Jacobi matrix differential equation, polynomial solutions and their properties, Computers and Mathematics with Applications 48, 789–803, 2004.
  • Dunford, N. and Schwartz, J. Linear Operators. Vol. I (Interscience, New York, 1957).
  • J´odar, L. and Company, R. Hermite matrix polynomials and second order matrix differential equations, J. Approx. Theory Appl. 12 (2), 20–30, 1996.
  • J´odar, L., Company, R. and Navarro, E. Laguerre matrix polynomials and system of second- order differential equations, Appl. Num. Math. 15, 53–63, 1994.
  • J´odar, 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.
  • J´odar, L. and Cort´es, J. C. On the hypergeometric matrix function, J. Comput. Appl. Math. 99, 205–217, 1998.
  • J´odar, L. and Cort´es, J. C. Some properties of Gamma and Beta matrix functions, Appl. Math. Lett. 11 (1), 89–93, 1998.
  • J´odar, L. and Defez, E. Chebyshev matrix polynomials and second order matrix differential equations, Utilitias Mathematica 61, 107–123, 2002.
  • J´odar, L., Defez, E. and Ponsoda, E. Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications, J. Approx. Theory Appl. 12 (1), 96– 115, 1996.
  • Lancaster, P. Theory of Matrices (Academic Press, New York, 1969).
  • 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.

Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT

Year 2012, Volume: 41 Issue: 1, 25 - 32, 01.01.2012

References

  • Altın, A., C¸ ekim, B. and Erkus-Duman, E. Families of generating functions for the Jacobi and related matrix polynomials, Ars Combinatoria (in press).
  • Batahan, R. S. A new extension of Hermite matrix polynomials and its applications, Linear Algebra and its Applications 419, 82–92, 2006.
  • Defez, E., Garcia-Honrubia, M. and Villanueva, R. J. A procedure for computing the expo- nential of a matrix using Hermite matrix polynomials, Far East J. Applied Mathematics 6(3), 217–231, 2002.
  • Defez, E. and J´odar, L. Some applications of the Hermite matrix polynomials series expan- sions, J. Comp. Appl. Math. 99, 105–117, 1998.
  • Defez, E., J´odar, E. and Law, A. Jacobi matrix differential equation, polynomial solutions and their properties, Computers and Mathematics with Applications 48, 789–803, 2004.
  • Dunford, N. and Schwartz, J. Linear Operators. Vol. I (Interscience, New York, 1957).
  • J´odar, L. and Company, R. Hermite matrix polynomials and second order matrix differential equations, J. Approx. Theory Appl. 12 (2), 20–30, 1996.
  • J´odar, L., Company, R. and Navarro, E. Laguerre matrix polynomials and system of second- order differential equations, Appl. Num. Math. 15, 53–63, 1994.
  • J´odar, 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.
  • J´odar, L. and Cort´es, J. C. On the hypergeometric matrix function, J. Comput. Appl. Math. 99, 205–217, 1998.
  • J´odar, L. and Cort´es, J. C. Some properties of Gamma and Beta matrix functions, Appl. Math. Lett. 11 (1), 89–93, 1998.
  • J´odar, L. and Defez, E. Chebyshev matrix polynomials and second order matrix differential equations, Utilitias Mathematica 61, 107–123, 2002.
  • J´odar, L., Defez, E. and Ponsoda, E. Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications, J. Approx. Theory Appl. 12 (1), 96– 115, 1996.
  • Lancaster, P. Theory of Matrices (Academic Press, New York, 1969).
  • 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.
There are 15 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Abdullah Altın This is me

Bayram Çekim This is me

Publication Date January 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 1

Cite

APA Altın, A., & Çekim, B. (2012). Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT. Hacettepe Journal of Mathematics and Statistics, 41(1), 25-32.
AMA Altın A, Çekim B. Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT. Hacettepe Journal of Mathematics and Statistics. January 2012;41(1):25-32.
Chicago Altın, Abdullah, and Bayram Çekim. “Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 41, no. 1 (January 2012): 25-32.
EndNote Altın A, Çekim B (January 1, 2012) Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT. Hacettepe Journal of Mathematics and Statistics 41 1 25–32.
IEEE A. Altın and B. Çekim, “Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 1, pp. 25–32, 2012.
ISNAD Altın, Abdullah - Çekim, Bayram. “Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 41/1 (January 2012), 25-32.
JAMA Altın A, Çekim B. Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2012;41:25–32.
MLA Altın, Abdullah and Bayram Çekim. “Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 1, 2012, pp. 25-32.
Vancouver Altın A, Çekim B. Generating Matrix Functions for Chebyshev Matrix Polynomials of the Second Kind FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2012;41(1):25-32.