Extension of Abel's Lemma with q-series implications

George E. Andrews; Pedro Freitas

doi:10.1007/s11139-005-4844-z

Extension of Abel's Lemma with q-series implications

George E. Andrews, Pedro Freitas

Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English (US)
Pages (from-to)	137-152
Number of pages	16
Journal	Ramanujan Journal
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/s11139-005-4844-z
State	Published - Oct 2005

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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@article{b5f239adbfb44346b82f3329aeec211a,

title = "Extension of Abel's Lemma with q-series implications",

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.",

author = "Andrews, \{George E.\} and Pedro Freitas",

note = "Funding Information: ∗The first author was partially supported by NSF grant DMS–0200047. The second author was partially supported by FCT, Portugal, through program POCTI.",

year = "2005",

month = oct,

doi = "10.1007/s11139-005-4844-z",

language = "English (US)",

volume = "10",

pages = "137--152",

journal = "Ramanujan Journal",

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T1 - Extension of Abel's Lemma with q-series implications

AU - Andrews, George E.

AU - Freitas, Pedro

N1 - Funding Information: ∗The first author was partially supported by NSF grant DMS–0200047. The second author was partially supported by FCT, Portugal, through program POCTI.

PY - 2005/10

Y1 - 2005/10

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/29144466478

UR - https://www.scopus.com/inward/citedby.url?scp=29144466478&partnerID=8YFLogxK

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DO - 10.1007/s11139-005-4844-z

M3 - Article

AN - SCOPUS:29144466478

SN - 1382-4090

VL - 10

SP - 137

EP - 152

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 2

ER -

Extension of Abel's Lemma with q-series implications

Abstract

All Science Journal Classification (ASJC) codes

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