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

YANG Ji-zhen, WANG Yun-peng

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

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 4: 573 - 582

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.04.012

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

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

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.

Received date: 2013-03-03

Online published: 2020-11-26

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)；

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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

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

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