Ramanujan continued fractions via orthogonal polynomials

Mourad E.H. Ismail; Dennis Stanton

doi:10.1016/j.aim.2005.04.006

Ramanujan continued fractions via orthogonal polynomials

Mourad E.H. Ismail, Dennis Stanton

Mathematics

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

3 Scopus citations

Abstract

Some Ramanujan continued fractions are evaluated using asymptotics of polynomials orthogonal with respect to measures with absolutely continuous components.

Original language	English (US)
Pages (from-to)	170-193
Number of pages	24
Journal	Advances in Mathematics
Volume	203
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2005.04.006
State	Published - Jun 20 2006

Bibliographical note

Funding Information:
Research partially supported by NSF Grants DMS 99-70865, DMS 02-03282. ∗Corresponding author. E-mail address: ismail@math.ucf.edu (M.E.H. Ismail).

Keywords

Asymptotics
Orthogonal polynomials
Ramanujan continued fractions
Recurrence relations
Rogers-Ramanujan identities

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title = "Ramanujan continued fractions via orthogonal polynomials",

abstract = "Some Ramanujan continued fractions are evaluated using asymptotics of polynomials orthogonal with respect to measures with absolutely continuous components.",

keywords = "Asymptotics, Orthogonal polynomials, Ramanujan continued fractions, Recurrence relations, Rogers-Ramanujan identities",

author = "Ismail, {Mourad E.H.} and Dennis Stanton",

note = "Funding Information: Research partially supported by NSF Grants DMS 99-70865, DMS 02-03282. ∗Corresponding author. E-mail address: ismail@math.ucf.edu (M.E.H. Ismail).",

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AU - Stanton, Dennis

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KW - Orthogonal polynomials

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KW - Recurrence relations

KW - Rogers-Ramanujan identities

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Ramanujan continued fractions via orthogonal polynomials

Abstract

Bibliographical note

Keywords

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