Certain Results of q-Sheffer-Appell Polynomials
MetadataShow full item record
CitationYasmin, G., Muhyi, A., & Araci, S. (February 01, 2019). Certain results of q-Sheffer-Appell polynomials. Symmetry, 11, 2.)
In this paper, the class of q-Sheffer-Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of q-Sheffer-Appell polynomials are investigated and some properties of these members are derived. In addition, the class of 2D q-Sheffer-Appell polynomials is introduced. Further, the graphs of some members of q-Sheffer-Appell polynomials and 2D q-Sheffer-Appell polynomials are plotted for different values of indices by using Matlab.
Showing items related by title, author, creator and subject.
The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers. The present paper deals with weighted q-Bernstein polynomials (or ...
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis Araci, Serkan; Bagdasaryan, Armen; Acikgoz, Mehmet; He, Yuan (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, ...
In this paper, the class of the twice-iterated 2D q-Appell polynomials is introduced. The generating function, series definition and some relations including the recurrence relations and partial q-difference equations of ...