Abstract

The aim of this short note is to provide a new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$.

Highlights

  • Expressing 2F1 as a series, we have after some simplification

  • This completes our new proof of Dixon’s summation theorem for the series

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Summary

Introduction

The aim of this note is to provide a new proof of the following classical Dixon’s summation theorem [2] for the series 3F2 viz. 2. A new proof of Dixon’s summation theorem (1.4) Consider the following integral valid for Re(b) > 0 Expressing the generalized hypergeometric function 2F2 in series, we have

Results
Conclusion

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