Some more identities of the Rogers-Ramanujan type

Douglas Bowman; James Mc Laughlin; Andrew V. Sills

doi:10.1007/s11139-007-9109-6

Some more identities of the Rogers-Ramanujan type

Douglas Bowman, James Mc Laughlin, Andrew V. Sills

Mathematical Sciences

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

14 Scopus citations

Abstract

In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.

Original language	English
Pages (from-to)	307-325
Number of pages	19
Journal	Ramanujan Journal
Volume	18
Issue number	3
DOIs	https://doi.org/10.1007/s11139-007-9109-6
State	Published - Apr 2009

Scopus Subject Areas

Algebra and Number Theory

Keywords

Q-series
Rogers-Ramanujan identities
Slater's identities

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10.1007/s11139-007-9109-6

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title = "Some more identities of the Rogers-Ramanujan type",

abstract = "In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.",

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AU - Sills, Andrew V.

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AB - In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.

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KW - Rogers-Ramanujan identities

KW - Slater's identities

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DO - 10.1007/s11139-007-9109-6

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JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 3

ER -

Some more identities of the Rogers-Ramanujan type

Abstract

Scopus Subject Areas

Keywords

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