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Far East Journal of Mathematical Sciences (FJMS)
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Abstract: The aim of this paper is to establish two results
contiguous to a well- known quadratic transformation
formula due to Gauss with the help of known summation
formulas contiguous to classical Watson’s theorem on
the sum of a
obtained
by Lavoie, Grondin and Rathie. Two results contiguous
to Kummer’s second theorem obtained earlier by
Rathie and Nagar follow limiting cases of our main
findings. The results derived in this paper are
simple, interesting, easily established and may be
useful.
Keywords and phrases: Gauss’s quadratic transformation, Watson’s theorem, contiguous theorems, Kummer’s second theorem.
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P-ISSN: 0972-0871
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