Rogers Mod 14 Identities
المؤلف:
Mc Laughlin, J.; Sills, A. V.; and Zimmer, P.
المصدر:
"Dynamic Survey DS15: Rogers-Ramanujan-Slater Type Identities." Electronic J. Combinatorics, DS15, 1-59, May 31, 2008.
الجزء والصفحة:
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1-9-2019
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Rogers Mod 14 Identities
The Rogers mod 14 identities are a set of three Rogers-Ramanujan-like identities given by
(OEIS A105780, A105781, and A105782).
The 
-identity was found by Rogers (1894) and appears as formula 61 in the list of Slater (1952). The 
- and 
-identities were found by Rogers (1917) and appeared as formulas 60 and 59 respectively in Slater (1952).
REFERENCES:
Mc Laughlin, J.; Sills, A. V.; and Zimmer, P. "Dynamic Survey DS15: Rogers-Ramanujan-Slater Type Identities." Electronic J. Combinatorics, DS15, 1-59, May 31, 2008. http://www.combinatorics.org/Surveys/ds15.pdf.
Rogers, L. J. "Second Memoir on the Expansion of Certain Infinite Products." Proc. London Math. Soc. 25, 318-343, 1894.
Rogers, L. J. "On Two Theorems of Combinatory Analysis and Some Allied Identities." Proc. London Math. Soc. 16, 315-336, 1917.
Slater, L. J. "Further Identities of the Rogers-Ramanujan Type." Proc. London Math. Soc. Ser. 2 54, 147-167, 1952.
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