Novel Finite Sum Identities Involving Reciprocals of Binomial Coefficients
Year: 2025
Type: article
Abstract: Finite sums involving reciprocals of binomial coefficients have long intrigued mathematicians, owing to their elegant structure and unexpected identities. In this work, we present a comprehensive general formula that unifies and extends several results previously studied in the literature. To demonstrate the breadth and utility of our approach, we also investigate a variety of significant special cases, shedding light on deeper patterns and connections. This unified perspective aims to appeal to researchers interested in combinatorics, number theory, and special functions.
Source: Symmetry
DOI: 10.3390/sym17081318
Authors: Necdet Batır, Junesang Choi
Institutions: Nevşehir Hacı Bektaş Veli University, Dongguk University WISE
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W7087360086