@inbook{9ffe424269804323a7f06e4516397f1a,
title = "Dyson{\textquoteright}s “Favorite” Identity and Chebyshev Polynomials of the Third and Fourth Kind",
abstract = "The combinatorial and analytic properties of Dyson{\textquoteright}s “favorite” identity are studied in detail. In particular, a q-series analog of the antitelescoping method is used to provide a new proof of Dyson{\textquoteright}s results with mock theta functions popping up in intermediate steps. This leads to the appearance of Chebyshev polynomials of the third and fourth kind in Bailey pairs related to Bailey{\textquoteright}s Lemma. The natural relationship with L.J. Rogers{\textquoteright}s pioneering work is also presented.",
author = "Andrews, {George E.}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-57050-7_6",
language = "English (US)",
series = "Trends in Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "89--110",
booktitle = "Trends in Mathematics",
address = "Germany",
}