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Extension of Abel's Lemma with q-Series Implications

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Abstract

In previous work arising from the study of Ramanujan's Lost Notebook, a new Abel type lemma was proved. In this paper, we discuss extensions of this lemma and use it to prove many q-series identities.

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Authors and Affiliations

  1. Department of Mathematics, Penn State University, University Park, Pennsylvania, 16802

    George E. Andrews

  2. Departamento de Matemática, Instituto Superior Técnico, Av.Rovisco Pais, 1049-001, Lisboa, Portugal

    Pedro Freitas

Authors
  1. George E. Andrews
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  2. Pedro Freitas
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Corresponding author

Correspondence to George E. Andrews.

Additional information

The first author was partially supported by NSF grant DMS–0200047. The second author was partially supported by FCT, Portugal, through program POCTI.

2000 Mathematics Subject Classification:Primary—33D15; Secondary—05A30

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Andrews, G.E., Freitas, P. Extension of Abel's Lemma with q-Series Implications. Ramanujan J 10, 137–152 (2005). https://doi.org/10.1007/s11139-005-4844-z

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  • DOI: https://doi.org/10.1007/s11139-005-4844-z

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