Certain Results of q -Sheffer–Appell Polynomials
Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India
Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep, Turkey
Author to whom correspondence should be addressed.
Received: 12 December 2018 / Revised: 24 January 2019 / Accepted: 28 January 2019 / Published: 1 February 2019
PDF [558 KB, uploaded 1 February 2019]
In this paper, the class of
-Sheffer–Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of
-Sheffer–Appell polynomials are investigated and some properties of these members are derived. In addition, the class of 2D
-Sheffer–Appell polynomials is introduced. Further, the graphs of some members of
-Sheffer–Appell polynomials and 2D
-Sheffer–Appell polynomials are plotted for different values of indices by using Matlab.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Yasmin, G.; Muhyi, A.; Araci, S. Certain Results of q -Sheffer–Appell Polynomials. Symmetry 2019, 11, 159.
Yasmin G, Muhyi A, Araci S. Certain Results of q -Sheffer–Appell Polynomials. Symmetry. 2019; 11(2):159.
Yasmin, Ghazala; Muhyi, Abdulghani; Araci, Serkan. 2019. "Certain Results of q -Sheffer–Appell Polynomials." Symmetry 11, no. 2: 159.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.