| q-Hermite Polynomials and a q-Beta Integral |
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| 作者姓名： | 刘治国 |
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| 作者单位： | Xinjiang Education |
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| 摘 要： | The main object of the present paper is to derive a formula for the q-Hahn.polynomials by using the q-Mehler formula about the q-Hermite polynomials.This result, together with other properties of the q-Hermite polynomials, provides an evalution of a q-beta integral.Both the celebrated Askey-Wilson integral and the Ismail-Stanton-Viennot integral are special cases of this integral.
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q-Hermite Polynomials and a q-Beta Integral |
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| Liu Zhiguo.q-Hermite Polynomials and a q-Beta Integral[J].Northeastern Mathematical Journal,1997(3). |
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| Authors: | Liu Zhiguo |
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| Abstract: | The main object of the present paper is to derive a formula for the q-Hahn.polynomials by using the q-Mehler formula about the q-Hermite polynomials.This result, together with other properties of the q-Hermite polynomials, provides an evalution of a q-beta integral.Both the celebrated Askey-Wilson integral and the Ismail-Stanton-Viennot integral are special cases of this integral. |
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| Keywords: | q-Hermite Polynomial q-beta Integral q-Hahn Polynomial Askey-Wilson Integral Ismail-Stanton-Viennot Integral |
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