This paper aims to highlight new properties of the centroid of the zeroes of a polynomial. As an illustration, we apply these techniques to O-classical orthogonal polynomials, where O is the derivative operator D or the q-derivative Hq.
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The authors would like to thank the referees for many valuable suggestions that improved the paper.
Dedicated to the memory of our Professor Ahmed Fitouhi, who recently passed away
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Aloui, B., Chammam, W. Classical Orthogonal Polynomials and Some New Properties for Their Centroids of Zeroes. Anal Math 46, 13–23 (2020). https://doi.org/10.1007/s10476-020-0012-3
Key words and phrases
- classical orthogonal polynomial
- centroid of zeroes
Mathematics Subject Classification
- primary 33C45
- secondary 42C05