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Article

Triple Symmetric Sums of Circular Binomial Products

1
School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
2
Department of Mathematics and Physics, University of Salento, 73100 Lecce, Italy
*
Authors to whom correspondence should be addressed.
Mathematics 2024, 12(15), 2303; https://doi.org/10.3390/math12152303
Submission received: 13 June 2024 / Revised: 13 July 2024 / Accepted: 20 July 2024 / Published: 23 July 2024
(This article belongs to the Special Issue Polynomial Sequences and Their Applications, 2nd Edition)

Abstract

By employing the generating function approach, 16 triple sums for circular binomial products of binomial coefficients are examined. Recurrence relations and generating functions are explicitly determined. These symmetric sums may find potential applications in the analysis of algorithms, symbolic calculus, and computations in theoretical physics.
Keywords: circular sum; binomial coefficient; generating function; recurrence relation circular sum; binomial coefficient; generating function; recurrence relation

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MDPI and ACS Style

Chen, M.N.; Chu, W. Triple Symmetric Sums of Circular Binomial Products. Mathematics 2024, 12, 2303. https://doi.org/10.3390/math12152303

AMA Style

Chen MN, Chu W. Triple Symmetric Sums of Circular Binomial Products. Mathematics. 2024; 12(15):2303. https://doi.org/10.3390/math12152303

Chicago/Turabian Style

Chen, Marta Na, and Wenchang Chu. 2024. "Triple Symmetric Sums of Circular Binomial Products" Mathematics 12, no. 15: 2303. https://doi.org/10.3390/math12152303

APA Style

Chen, M. N., & Chu, W. (2024). Triple Symmetric Sums of Circular Binomial Products. Mathematics, 12(15), 2303. https://doi.org/10.3390/math12152303

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