Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (4): 573-582.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.012

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

  

  1. 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);

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

CLC Number: