Research Article

On The Konhauser Biorthogonal Polynomials

Volume: 7 December 19, 2017
EN

On The Konhauser Biorthogonal Polynomials

Abstract

In this study, we give new properties of the Konhauser biorthogonal polynomials $Y_{n}^{\alpha }(x;k)$. Various families of multilinear, multilateral generating functions, some special cases and several recurrence relations for these polynomials are obtained.

Keywords

References

  1. Aktaş, R., Erkuş-Duman, E., The Laguerre polynomials in several variables, Mathematica Slovaca, 63(3)(2013), 531–544.
  2. Aktaş, R., Erkus-Duman, E., A generalization of the extended Jacobi polynomials in two variables, Gazi University Journal of Science, 28(3)(2015), 503–521.
  3. Aktaş, R., Taşdelen, F., Yavuz, N. , Bilateral and bilinear generating functions for the eneralized Zernike or disc polynomials, Ars Combinatoria, 108(2013), 389–400.
  4. Altın A., Erkuş, E. On a multivariable extension of the Lagrange-Hermite polynomials, Integral Transforms and Special Functions, 17(4)(2006), 239–244.
  5. Erdelyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. G., Higher Transcendental Functions, Vol. III, McGraw–Hill Book Company, New York/Toronto/London, 1955.
  6. Erkus, E., Srivastava, H. M., A unified presentation of some families of multivariable polynomials, Integral Transforms Spec. Funct., 17(2006), 267–273.
  7. Gürel, Ö., Aktaş, R., Altın, A., On a family of multivariable polynomials defined through Rodrigues type formula, Journal of Classical Analysis, 4(2)(2014), 167–180.
  8. Özmen, N., Erkus-Duman, E., Some results for a family of multivariable polynomials, AIP Conf. Proc., 1558(2013), 1124–1127.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Nejla Özmen
DÜZCE ÜNİVERSİTESİ
Türkiye

Yahya Cin This is me

Publication Date

December 19, 2017

Submission Date

August 3, 2017

Acceptance Date

October 26, 2017

Published in Issue

Year 2017 Volume: 7

APA
Özmen, N., & Cin, Y. (2017). On The Konhauser Biorthogonal Polynomials. Turkish Journal of Mathematics and Computer Science, 7, 48-55. https://izlik.org/JA95JM98HX
AMA
1.Özmen N, Cin Y. On The Konhauser Biorthogonal Polynomials. TJMCS. 2017;7:48-55. https://izlik.org/JA95JM98HX
Chicago
Özmen, Nejla, and Yahya Cin. 2017. “On The Konhauser Biorthogonal Polynomials”. Turkish Journal of Mathematics and Computer Science 7 (December): 48-55. https://izlik.org/JA95JM98HX.
EndNote
Özmen N, Cin Y (December 1, 2017) On The Konhauser Biorthogonal Polynomials. Turkish Journal of Mathematics and Computer Science 7 48–55.
IEEE
[1]N. Özmen and Y. Cin, “On The Konhauser Biorthogonal Polynomials”, TJMCS, vol. 7, pp. 48–55, Dec. 2017, [Online]. Available: https://izlik.org/JA95JM98HX
ISNAD
Özmen, Nejla - Cin, Yahya. “On The Konhauser Biorthogonal Polynomials”. Turkish Journal of Mathematics and Computer Science 7 (December 1, 2017): 48-55. https://izlik.org/JA95JM98HX.
JAMA
1.Özmen N, Cin Y. On The Konhauser Biorthogonal Polynomials. TJMCS. 2017;7:48–55.
MLA
Özmen, Nejla, and Yahya Cin. “On The Konhauser Biorthogonal Polynomials”. Turkish Journal of Mathematics and Computer Science, vol. 7, Dec. 2017, pp. 48-55, https://izlik.org/JA95JM98HX.
Vancouver
1.Nejla Özmen, Yahya Cin. On The Konhauser Biorthogonal Polynomials. TJMCS [Internet]. 2017 Dec. 1;7:48-55. Available from: https://izlik.org/JA95JM98HX