@article {MATHEDUC.06619324,
author = {Withers, Christopher S. and Nadarajah, Saralees},
title = {$\beta$-reciprocal polynomials.},
year = {2016},
journal = {International Journal of Mathematical Education in Science and Technology},
volume = {47},
number = {5},
issn = {0020-739X},
pages = {762-766},
publisher = {Taylor \& Francis, Abingdon, Oxfordshire},
doi = {10.1080/0020739X.2015.1112043},
abstract = {Summary: A new class of polynomials $p_n(x)$ known as $\beta$-reciprocal polynomials is defined. Given a parameter $\beta\in \mathbb{C}$ that is not a root of $-1$, we show that the only $\beta$-reciprocal polynomials are $p_n(x)\equiv x^n$. When $\beta$ is a root of $-1$, other polynomials are possible. For example, the Hermite polynomials are $i$-reciprocal, $i=\sqrt{-1}$.},
msc2010 = {H30xx (K60xx)},
identifier = {2016e.00767},
}