Some New Properties of Morgan-Voyce Polynomials
Received:August 24, 2019  Revised:October 12, 2019
Key Word: Morgan-Voyce polynomial   asymptotically normal distribution   totally positive matrix  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11771065).
Author NameAffiliation
Yanni PEI School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Yi WANG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      We show that zeros of Morgan-Voyce polynomials are dense in the closed interval $[-4,0]$. We show also that coefficients of Morgan-Voyce polynomials are approximately normally distributed and that the coefficient arrays are totally positive matrices.
Citation:
DOI:10.3770/j.issn:2095-2651.2019.06.004
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