一类含有q-二项式系数倒数乘积的恒等式

doi:10.13371/j.cnki.chin.q.j.m.2014.04.012

数学季刊 ›› 2014, Vol. 29 ›› Issue (4): 573-582.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.012

一类含有q-二项式系数倒数乘积的恒等式

1. Department of Mathematics, Luoyang Normal College2. Department of Mathematics and Physical, Luoyang Institute of Science and Technology

收稿日期:2013-03-03 出版日期:2014-12-30 发布日期:2020-11-26
作者简介:YANG Ji-zhen(1984-), female, native of Luoyang, Henan, a lecturer of Luoyang Normal College, M.S.D., engages in combinatorial mathematics; WANG Yun-peng(1981-), male, native of Yingkou, Liaoning, a lecturer of Luoyang Institute of Science and Technology, M.S.D., engages in combinatorial mathematics.
基金资助:
Supported by the National Natural Science Foundation of China(10771093)； Supported by the Youth Foundation of Luoyang Normal College（2013-QNJJ-001）； Supported by the Youth Foundation of the Luoyang Institute of Science and Technology(2012QZ05)；

A Kind of Identities for Products Reciprocals of q-binomial Coefficients

1. Department of Mathematics, Luoyang Normal College2. Department of Mathematics and Physical, Luoyang Institute of Science and Technology

Received:2013-03-03 Online:2014-12-30 Published:2020-11-26
About author:YANG Ji-zhen(1984-), female, native of Luoyang, Henan, a lecturer of Luoyang Normal College, M.S.D., engages in combinatorial mathematics; WANG Yun-peng(1981-), male, native of Yingkou, Liaoning, a lecturer of Luoyang Institute of Science and Technology, M.S.D., engages in combinatorial mathematics.
Supported by:
Supported by the National Natural Science Foundation of China(10771093)； Supported by the Youth Foundation of Luoyang Normal College（2013-QNJJ-001）； Supported by the Youth Foundation of the Luoyang Institute of Science and Technology(2012QZ05)；

摘要/Abstract

摘要： The purpose of this paper is to establish some identities with products of qHermite polynomials, q-ultraspherical polynomials and reciprocals of q-binomial coefficients.

关键词: q-gamma function, q-beta function, q-integral, q-binomial coe±cients

Abstract: The purpose of this paper is to establish some identities with products of qHermite polynomials, q-ultraspherical polynomials and reciprocals of q-binomial coefficients.

Key words: q-gamma function, q-beta function, q-integral, q-binomial coe±cients

中图分类号:

O174.14

杨继真, 王云鹏. 一类含有q-二项式系数倒数乘积的恒等式[J]. 数学季刊, 2014, 29(4): 573-582.

YANG Ji-zhen, WANG Yun-peng. A Kind of Identities for Products Reciprocals of q-binomial Coefficients[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(4): 573-582.

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一类含有q-二项式系数倒数乘积的恒等式

A Kind of Identities for Products Reciprocals of q-binomial Coefficients

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