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Certain Results of q-Sheffer-Appell Polynomials

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Makale Dosyası (557.9Kb)

Date

2019-02

Author

Araci, Serkan
Muhyi, Abdulghani
Yasmin, Ghazala

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Citation

Yasmin, G., Muhyi, A., & Araci, S. (February 01, 2019). Certain results of q-Sheffer-Appell polynomials. Symmetry, 11, 2.)

Abstract

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.

Source

SYMMETRY-BASEL

Volume

11

Issue

2

URI

https://doi.org/10.3390/sym11020159
https://hdl.handle.net/20.500.11782/570

Collections

  • İİSBF - İKT Makale Koleksiyonu [109]
  • Scopus İndeksli Yayınlar Koleksiyonu [577]
  • WoS İndeksli Yayınlar Koleksiyonu [517]

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    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, ...
  • Certain Results for the Twice-Iterated 2D q-Appell Polynomials 

    Araci, Serkan; Srivastava, H. M.; Yasmin, Ghazala; Muhyi, Abdulghani (MDPI, 2019-10)
    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 ...



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