A $$q$$q-extension of a partial differential equation and the Hahn polynomials
A $$q$$q-extension of a partial differential equation and the Hahn polynomials
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DOI：
10.1007/s11139-014-9632-1
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发表时间：
2015-12
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影响因子：
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通讯作者：
Zhi-Guo Liu
中科院分区：
文献类型：
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作者：
Zhi-Guo Liu
利用多元解析函数理论，证明了如果多元解析函数满足一个偏微分方程组，则它可以用齐次Hahn多项式的乘积展开.讨论了这一展开定理在-级数上的一些非平凡应用。
Using the theory of analytic functions of several complex variables, we prove that if an analytic function in several variables satisfies a system of-partial differential equations, then, it can be expanded in terms of the product of the homogeneous Hahn polynomials. Some non-trivial applications of this expansion theorem to-series are discussed.