New infinite hierarchies of polynomial identities related to the Capparelli partition theorems
نویسندگان
چکیده
We prove a new polynomial refinement of the Capparelli's identities. Using special case Bailey's lemma we many infinite families sum-product identities that root from our finite analogues also discuss q ↦ 1 / duality transformation base and some related partition theoretic relations.
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125678