Abstract
Varma et. al. [Ars Combin. 100 (2011) 193-204] introduced the
concept of the Konhauser matrix polynomials. In this paper, we obtain some
generating functions for these matrix polynomials. Finally, we focus on some
special cases.
Keywords
Konhauser matrix polynomials multilinear generating matrix function multilateral generating matrix function jacobi matrix polynomials
References
- A. Altın and E. Erku¸s, On a multivariable extension of the Lagrange-Hermite polynomials, Integral Transform. Spec. Funct., 17 (2006), 239-244.
- E. Erku¸s-Duman, Matrix extensions of polynomials in several variables, Util. Math., 85 (2011), 161-180.
- B. Çekim and E. Erku¸s-Duman, On the g-Jacobi Matrix Functions, Advances in Applied Mathematics and Approximation Theory, Springer Proceedings in Mathematics & Statistics, 73-84, 2013.
- R. Akta¸s, B. Çekim and R. ¸Sahin, The matrix version for the multivariable Humbert polyno- mials, Miskolc Math. Notes, 13 (2) (2012), 197-208.
- S. Varma, B. Çekim, F. Ta¸sdelen Ye¸sildal, On Konhauser matrix polynomials, Ars Combin., 100 (2011), 193-204.
- K.A.M. Sayyed, M.S. Metwally and R.S. Batahan, Gegenbauer matrix polynomials and second order matrix diğerential equations, Divulg.Mat., 12 (2) (2004), 101-115.
- A. Altın, B. Çekim and E. Erku¸s-Duman, Families of generating functions for the Jacobi and related matrix polynomials, Ars Combin. (in press). Current address : Gazi University, Faculty of Science, Department of Mathematics, Teknikokullar
- TR-06500, Ankara, TURKEY E-mail address : eduman@gazi.edu.tr, bayramcekim@gazi.edu.tr URL: http://communications.science.ankara.edu.tr/index.php?series=A1
Abstract
References
- A. Altın and E. Erku¸s, On a multivariable extension of the Lagrange-Hermite polynomials, Integral Transform. Spec. Funct., 17 (2006), 239-244.
- E. Erku¸s-Duman, Matrix extensions of polynomials in several variables, Util. Math., 85 (2011), 161-180.
- B. Çekim and E. Erku¸s-Duman, On the g-Jacobi Matrix Functions, Advances in Applied Mathematics and Approximation Theory, Springer Proceedings in Mathematics & Statistics, 73-84, 2013.
- R. Akta¸s, B. Çekim and R. ¸Sahin, The matrix version for the multivariable Humbert polyno- mials, Miskolc Math. Notes, 13 (2) (2012), 197-208.
- S. Varma, B. Çekim, F. Ta¸sdelen Ye¸sildal, On Konhauser matrix polynomials, Ars Combin., 100 (2011), 193-204.
- K.A.M. Sayyed, M.S. Metwally and R.S. Batahan, Gegenbauer matrix polynomials and second order matrix diğerential equations, Divulg.Mat., 12 (2) (2004), 101-115.
- A. Altın, B. Çekim and E. Erku¸s-Duman, Families of generating functions for the Jacobi and related matrix polynomials, Ars Combin. (in press). Current address : Gazi University, Faculty of Science, Department of Mathematics, Teknikokullar
- TR-06500, Ankara, TURKEY E-mail address : eduman@gazi.edu.tr, bayramcekim@gazi.edu.tr URL: http://communications.science.ankara.edu.tr/index.php?series=A1
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | February 1, 2014 |
| Published in Issue | Year 2014 Volume: 63 Issue: 1 |
Cite
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