BibTex RIS Kaynak Göster

NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS

Yıl 2014, Cilt: 63 Sayı: 1, 35 - 41, 01.02.2014

Esra Erkuş – Duman Bayram Çekim

https://doi.org/10.1501/Commua1_0000000703
Cited By: 4

Öz

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.

Anahtar Kelimeler

Konhauser matrix polynomials multilinear generating matrix function multilateral generating matrix function jacobi matrix polynomials

Kaynakça

  • 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

Yıl 2014, Cilt: 63 Sayı: 1, 35 - 41, 01.02.2014

Esra Erkuş – Duman Bayram Çekim

https://doi.org/10.1501/Commua1_0000000703
Cited By: 4

Öz

Kaynakça

  • 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
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Esra Erkuş – Duman Bu kişi benim

Bayram Çekim Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 63 Sayı: 1

Kaynak Göster

APA Erkuş – Duman, E., & Çekim, B. (2014). NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 63(1), 35-41. https://doi.org/10.1501/Commua1_0000000703
AMA Erkuş – Duman E, Çekim B. NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2014;63(1):35-41. doi:10.1501/Commua1_0000000703
Chicago Erkuş – Duman, Esra, ve Bayram Çekim. “NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63, sy. 1 (Şubat 2014): 35-41. https://doi.org/10.1501/Commua1_0000000703.
EndNote Erkuş – Duman E, Çekim B (01 Şubat 2014) NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63 1 35–41.
IEEE E. Erkuş – Duman ve B. Çekim, “NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 63, sy. 1, ss. 35–41, 2014, doi: 10.1501/Commua1_0000000703.
ISNAD Erkuş – Duman, Esra - Çekim, Bayram. “NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63/1 (Şubat 2014), 35-41. https://doi.org/10.1501/Commua1_0000000703.
JAMA Erkuş – Duman E, Çekim B. NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63:35–41.
MLA Erkuş – Duman, Esra ve Bayram Çekim. “NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 63, sy. 1, 2014, ss. 35-41, doi:10.1501/Commua1_0000000703.
Vancouver Erkuş – Duman E, Çekim B. NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63(1):35-41.

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