The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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A NOTE ON TWO KNOWN SUMS INVOLVING CENTRAL BINOMIAL COEFFICIENTS WITH AN APPLICATION

  • Lim, Dongkyu (Department of Mathematics Education, Andong National University) ;
  • Rathie, Arjun Kumar (Department of Mathematics, Vedant College of Engineering & Technology, Rajasthan Technical University)
  • Received : 2022.02.26
  • Accepted : 2022.05.02
  • Published : 2022.05.31
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Abstract

The aim of this note is to establish two known sums involving central binomial coefficients via a hypergeometric series approach. As an application, we discover two new closed-form evaluations of generalized hypergeometric function.

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Acknowledgement

The referees have reviewed the paper very carefully. The authors express their deep thanks for the comments. The work of D. Lim was partially supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) NRF-2021R1C1C1010902.

References

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