NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS

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.

___

  • 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
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi