Certain results of \(\mathfrak{q}\)-Sheffer-Appell polynomials (Q2310973)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Certain results of \(\mathfrak{q}\)-Sheffer-Appell polynomials |
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Certain results of \(\mathfrak{q}\)-Sheffer-Appell polynomials (English)
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10 July 2019
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Summary: In this paper, the class of \(\mathfrak{q}\)-Sheffer-Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of \(\mathfrak{q}\)-Sheffer-Appell polynomials are investigated and some properties of these members are derived. In addition, the class of 2D \(\mathfrak{q}\)-Sheffer-Appell polynomials is introduced. Further, the graphs of some members of \(\mathfrak{q}\)-Sheffer-Appell polynomials and 2D \(\mathfrak{q}\)-Sheffer-Appell polynomials are plotted for different values of indices by using Matlab.
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\(\mathfrak{q}\)-Sheffer-Appell polynomials
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generating relations
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determinant definition
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recurrence relation
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\(\mathfrak{q}\)-Hermite-Bernoulli polynomials
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\(\mathfrak{q}\)-Hermite-Euler polynomials
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\(\mathfrak{q}\)-Hermite-Genocchi polynomials
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