Certain Results of q -Sheffer–Appell Polynomials
Copyright policy )Certain Results of q -Sheffer–Appell Polynomials
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.
- Hasan Kalyoncu University Turkey
- Aligarh Muslim University India
- Aligarh Muslim University India
q -Hermite–Euler polynomials, q -Hermite–Bernoulli polynomials, q-Sheffer-Appell polynomials; generating relations; determinant definition; recurrence relation; q-Hermite-Bernoulli polynomials; q-Hermite-Euler polynomials; q-Hermite-Genocchi polynomials, q -Hermite–Genocchi polynomials, determinant definition, recurrence relation, q -Sheffer–Appell polynomials, generating relations
q -Hermite–Euler polynomials, q -Hermite–Bernoulli polynomials, q-Sheffer-Appell polynomials; generating relations; determinant definition; recurrence relation; q-Hermite-Bernoulli polynomials; q-Hermite-Euler polynomials; q-Hermite-Genocchi polynomials, q -Hermite–Genocchi polynomials, determinant definition, recurrence relation, q -Sheffer–Appell polynomials, generating relations
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