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A Note on the (p,q)-Hermite Polynomials |
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PP: 227-231 |
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doi:10.18576/amis/120122
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Author(s) |
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Ugur Duran,
Mehmet Acikgoz,
Ayhan Esi,
Serkan Araci,
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Abstract |
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| In this paper, we introduce a new generalization of the Hermite polynomials via (p,q)-exponential generating function and investigate several properties and relations for mentioned polynomials including derivative property, explicit formula, recurrence relation, integral representation. We also define a (p,q)-analogue of the Bernstein polynomials and acquire their some formulas. We then provide some (p,q)-hyperbolic representations of the (p,q) -Bernstein polynomials. In addition, we obtain a correlation between (p,q)-Hermite polynomials and (p,q)-Bernstein polynomials. |
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