Gosper’s strange series: A new, simplified proof and generalizations
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Published:2023-10-01
Issue:8
Volume:99
Page:
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ISSN:0386-2194
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Container-title:Proceedings of the Japan Academy, Series A, Mathematical Sciences
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language:
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Short-container-title:Proc. Japan Acad. Ser. A Math. Sci.
Subject
General Mathematics
Reference6 articles.
1. J. M. Campbell and M. Cantarini, A series evaluation technique based on a modified Abel lemma, Turkish J. Math. 46 (2022), no. 4, 1520–1537.
2. M. Cantarini, A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series, Ramanujan J. 59 (2022), no. 2, 549–557.
3. W. Chu, Telescopic approach to a formula of $_{2}F_{1}$-series by Gosper and Ebisu, Proc. Japan Acad. Ser. A Math. Sci. 93 (2017), no. 3, 13–15.
4. I. M. Gessel and D. W. Stanton, Strange evaluations of hypergeometric series, SIAM J. Math. Anal. 13 (1982), no. 2, 295–308.
5. M. Petkovšek, H. S. Wilf, and D. Zeilberger, $A=B$, A K Peters, Ltd., Wellesley, MA, 1996.