Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series

In 2012, a truncated version for the Euler pentagonal number theorem was established by Andrews and Merca. Since then, a series of papers on the subject have followed. In this paper, using some transformation formulas for basic hypergeometric series, we prove several truncated sums for four restrict...

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Bibliographic Details

Published in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 117; no. 3
Main Author:	Yao, Olivia X. M.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.07.2023
Subjects:	Applications of Mathematics Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical Primary 11P81 Partitions Theta series Truncated series Basic hypergeometric series Transformation formulas 05A17
ISSN:	1578-7303, 1579-1505
Online Access:	Get full text
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