The Ramanujan Journal

, Volume 48, Issue 3, pp 459–476 | Cite as

Rogers–Ramanujan type identities via Abel’s lemma on summation by parts

  • Wenchang ChuEmail author


The Abel’s lemma on summation by parts is employed to review identities of Rogers–Ramanujan type. Twenty examples are illustrated including several new RR identities.


Rogers–Ramanujan identities Abel’s lemma on summation by parts Basic hypergeometric series 

Mathematics Subject Classification

Primary 33D15 Secondary 05A30 



The author expresses his sincere gratitude to three anonymous referees for their careful reading, critical comments and valuable suggestions, that have improved the manuscript during the revision.


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Authors and Affiliations

  1. 1.School of Mathematics and StatisticsZhoukou Normal UniversityZhoukouPeople’s Republic of China
  2. 2.Dipartimento di Matematica e Fisica “Ennio De Giorgi”Università del SalentoLecceItaly

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