Some Identities in Combinatory Analysis. [Received 12 November, 1943. - Read 16 December, 1943.] [In: Proceedings of the London Mathematical Society. Second Series. Volume 49]. - [FIRST PUBLICATION OF "BAILEY PAIRS".]

London, Hodgson & Son, 1947. Royal 8vo. Bound with all the six original front-wrappers for all six parts of the volume (bound in at rear) in a very nice contemporary blue full cloth binding with gilt lettering and gilt ex-libris ("Belford College. Univ. London") to spine. Very minor bumping to extremities. Binding tight, and in excellent, very nice, clean, and fresh condition, in- as well as ex-ternally. Small circle-stamp to pasted-down front free end-papers and to title-page ("Bedford College for Women"). Discreet library-markings to upper margin of pasted-down front free end-paper and book-plate stating that the book was presented to the Library of Bedford College by "Professor H. Simpson./ 1946-47." Pp. 421-435. [Entire volume: (4), 481pp.]. First publication of Bailey's seminal work on what is later known as a Bailey pair.While studying the second proof of the Rogers-Ramanujan identities, Bailey discovered how to find a pair of sequences satisfying certain relations. In 1984 George E. Andrews introduced the Bailey chain, a series of Bailey pairs.…