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New Summation and Integral Representations for 2-Variable (p,q)-Hermite Polynomials

AXIOMS(2024)

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摘要
In this paper, we introduce and study new features for 2-variable (p,q)-Hermite polynomials, such as the (p,q)-diffusion equation, (p,q)-differential formula and integral representations. In addition, we establish some summation models and their (p,q)-derivatives. Certain parting remarks and nontrivial examples are also provided.
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关键词
(p,q)-calculus,2-variable (p,q)-Hermite polynomials,shift operator for polynomials,(p,q)-differential equation summation formulas,integral representations
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