Identifying redundant singularity in Padé approximant Article Swipe

PDF

F.-R. Chang , Yuanyuan Liu , Xin Gu , Wen-Du Li , Wu-Sheng Dai ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.1209/0295-5075/adba0b

The Padé approximant performs the pole analysis in statistical mechanics and particle physics. The Padé approximant can recover the singularity information lost in the polynomial approximation given by perturbation methods but also introduces redundant singularities. This paper presents a method to identify redundant singularities by analyzing the approximation itself rather than relying on the original function or underlying physical principles.

Related Topics

Mathematics

Computer Science

Calculus (Dental)

Mathematical Analysis

Medicine

Orthodontics

Concepts

Singularity Padé approximant Mathematics Computer science Calculus (dental) Applied mathematics Mathematical analysis Medicine Orthodontics

Metadata

Type: article
Language: en
Landing Page: https://doi.org/10.1209/0295-5075/adba0b
PDF: https://iopscience.iop.org/article/10.1209/0295-5075/adba0b/pdf
OA Status: bronze
References: 17
Related Works: 10
OpenAlex ID: https://openalex.org/W4407931196

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4407931196

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.1209/0295-5075/adba0b

Digital Object Identifier
Title: Identifying redundant singularity in Padé approximant

Work title
Type: article

OpenAlex work type
Language: en

Primary language
Publication year: 2025

Year of publication
Publication date: 2025-02-25

Full publication date if available
Authors: F.-R. Chang, Yuanyuan Liu, Xin Gu, Wen-Du Li, Wu-Sheng Dai

List of authors in order
Landing page: https://doi.org/10.1209/0295-5075/adba0b

Publisher landing page
PDF URL: https://iopscience.iop.org/article/10.1209/0295-5075/adba0b/pdf

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: bronze

Open access status per OpenAlex
OA URL: https://iopscience.iop.org/article/10.1209/0295-5075/adba0b/pdf

Direct OA link when available
Concepts: Singularity, Padé approximant, Mathematics, Computer science, Calculus (dental), Applied mathematics, Mathematical analysis, Medicine, Orthodontics

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex
References (count): 17

Number of works referenced by this work
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4407931196
doi	https://doi.org/10.1209/0295-5075/adba0b
ids.doi	https://doi.org/10.1209/0295-5075/adba0b
ids.openalex	https://openalex.org/W4407931196
fwci	0.0
type	article
title	Identifying redundant singularity in Padé approximant
awards[0].id	https://openalex.org/G2330033618
awards[0].funder_id	https://openalex.org/F4320321001
awards[0].display_name
awards[0].funder_award_id	11675119
awards[0].funder_display_name	National Natural Science Foundation of China
awards[1].id	https://openalex.org/G4299400093
awards[1].funder_id	https://openalex.org/F4320334013
awards[1].display_name
awards[1].funder_award_id	11947124
awards[1].funder_display_name	Special Foundation for Theoretical Physics Research Program of China
biblio.issue	6
biblio.volume	149
biblio.last_page	62001
biblio.first_page	62001
topics[0].id	https://openalex.org/T12661
topics[0].field.id	https://openalex.org/fields/26
topics[0].field.display_name	Mathematics
topics[0].score	0.8946999907493591
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/2612
topics[0].subfield.display_name	Numerical Analysis
topics[0].display_name	Iterative Methods for Nonlinear Equations
topics[1].id	https://openalex.org/T12504
topics[1].field.id	https://openalex.org/fields/26
topics[1].field.display_name	Mathematics
topics[1].score	0.7986999750137329
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/2608
topics[1].subfield.display_name	Geometry and Topology
topics[1].display_name	Mathematics and Applications
funders[0].id	https://openalex.org/F4320321001
funders[0].ror	https://ror.org/01h0zpd94
funders[0].display_name	National Natural Science Foundation of China
funders[1].id	https://openalex.org/F4320334013
funders[1].ror
funders[1].display_name	Special Foundation for Theoretical Physics Research Program of China
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C16171025
concepts[0].level	2
concepts[0].score	0.7092649936676025
concepts[0].wikidata	https://www.wikidata.org/wiki/Q863349
concepts[0].display_name	Singularity
concepts[1].id	https://openalex.org/C153150388
concepts[1].level	2
concepts[1].score	0.5311264991760254
concepts[1].wikidata	https://www.wikidata.org/wiki/Q2452504
concepts[1].display_name	Padé approximant
concepts[2].id	https://openalex.org/C33923547
concepts[2].level	0
concepts[2].score	0.407534658908844
concepts[2].wikidata	https://www.wikidata.org/wiki/Q395
concepts[2].display_name	Mathematics
concepts[3].id	https://openalex.org/C41008148
concepts[3].level	0
concepts[3].score	0.3584592044353485
concepts[3].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[3].display_name	Computer science
concepts[4].id	https://openalex.org/C2777686260
concepts[4].level	2
concepts[4].score	0.34113138914108276
concepts[4].wikidata	https://www.wikidata.org/wiki/Q144037
concepts[4].display_name	Calculus (dental)
concepts[5].id	https://openalex.org/C28826006
concepts[5].level	1
concepts[5].score	0.2782548666000366
concepts[5].wikidata	https://www.wikidata.org/wiki/Q33521
concepts[5].display_name	Applied mathematics
concepts[6].id	https://openalex.org/C134306372
concepts[6].level	1
concepts[6].score	0.2631065249443054
concepts[6].wikidata	https://www.wikidata.org/wiki/Q7754
concepts[6].display_name	Mathematical analysis
concepts[7].id	https://openalex.org/C71924100
concepts[7].level	0
concepts[7].score	0.06992843747138977
concepts[7].wikidata	https://www.wikidata.org/wiki/Q11190
concepts[7].display_name	Medicine
concepts[8].id	https://openalex.org/C29694066
concepts[8].level	1
concepts[8].score	0.06271061301231384
concepts[8].wikidata	https://www.wikidata.org/wiki/Q118301
concepts[8].display_name	Orthodontics
keywords[0].id	https://openalex.org/keywords/singularity
keywords[0].score	0.7092649936676025
keywords[0].display_name	Singularity
keywords[1].id	https://openalex.org/keywords/padé-approximant
keywords[1].score	0.5311264991760254
keywords[1].display_name	Padé approximant
keywords[2].id	https://openalex.org/keywords/mathematics
keywords[2].score	0.407534658908844
keywords[2].display_name	Mathematics
keywords[3].id	https://openalex.org/keywords/computer-science
keywords[3].score	0.3584592044353485
keywords[3].display_name	Computer science
keywords[4].id	https://openalex.org/keywords/calculus
keywords[4].score	0.34113138914108276
keywords[4].display_name	Calculus (dental)
keywords[5].id	https://openalex.org/keywords/applied-mathematics
keywords[5].score	0.2782548666000366
keywords[5].display_name	Applied mathematics
keywords[6].id	https://openalex.org/keywords/mathematical-analysis
keywords[6].score	0.2631065249443054
keywords[6].display_name	Mathematical analysis
keywords[7].id	https://openalex.org/keywords/medicine
keywords[7].score	0.06992843747138977
keywords[7].display_name	Medicine
keywords[8].id	https://openalex.org/keywords/orthodontics
keywords[8].score	0.06271061301231384
keywords[8].display_name	Orthodontics
language	en
locations[0].id	doi:10.1209/0295-5075/adba0b
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S161185981
locations[0].source.issn	0295-5075, 1286-4854
locations[0].source.type	journal
locations[0].source.is_oa	False
locations[0].source.issn_l	0295-5075
locations[0].source.is_core	True
locations[0].source.is_in_doaj	False
locations[0].source.display_name	Europhysics Letters (EPL)
locations[0].source.host_organization	https://openalex.org/P4310311669
locations[0].source.host_organization_name	Institute of Physics
locations[0].source.host_organization_lineage	https://openalex.org/P4310311669
locations[0].source.host_organization_lineage_names	Institute of Physics
locations[0].license
locations[0].pdf_url	https://iopscience.iop.org/article/10.1209/0295-5075/adba0b/pdf
locations[0].version	publishedVersion
locations[0].raw_type	journal-article
locations[0].license_id
locations[0].is_accepted	True
locations[0].is_published	True
locations[0].raw_source_name	Europhysics Letters
locations[0].landing_page_url	https://doi.org/10.1209/0295-5075/adba0b
indexed_in	crossref
authorships[0].author.id	https://openalex.org/A5101117018
authorships[0].author.orcid
authorships[0].author.display_name	F.-R. Chang
authorships[0].author_position	first
authorships[0].raw_author_name	Fu-Ming Chang
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5115593327
authorships[1].author.orcid	https://orcid.org/0009-0003-1064-0191
authorships[1].author.display_name	Yuanyuan Liu
authorships[1].author_position	middle
authorships[1].raw_author_name	Yuan-Yuan Liu
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5058551235
authorships[2].author.orcid	https://orcid.org/0000-0002-6074-4146
authorships[2].author.display_name	Xin Gu
authorships[2].author_position	middle
authorships[2].raw_author_name	Xin Gu
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5032161976
authorships[3].author.orcid
authorships[3].author.display_name	Wen-Du Li
authorships[3].author_position	middle
authorships[3].raw_author_name	Wen-Du Li
authorships[3].is_corresponding	False
authorships[4].author.id	https://openalex.org/A5001909929
authorships[4].author.orcid	https://orcid.org/0000-0002-2085-8907
authorships[4].author.display_name	Wu-Sheng Dai
authorships[4].author_position	last
authorships[4].raw_author_name	Wu-Sheng Dai
authorships[4].is_corresponding	False
has_content.pdf	True
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://iopscience.iop.org/article/10.1209/0295-5075/adba0b/pdf
open_access.oa_status	bronze
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Identifying redundant singularity in Padé approximant
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T12661
primary_topic.field.id	https://openalex.org/fields/26
primary_topic.field.display_name	Mathematics
primary_topic.score	0.8946999907493591
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/2612
primary_topic.subfield.display_name	Numerical Analysis
primary_topic.display_name	Iterative Methods for Nonlinear Equations
related_works	https://openalex.org/W2899084033, https://openalex.org/W2748952813, https://openalex.org/W4391375266, https://openalex.org/W2392120131, https://openalex.org/W59395856, https://openalex.org/W2237487746, https://openalex.org/W2116139986, https://openalex.org/W4399578928, https://openalex.org/W2099520116, https://openalex.org/W2621837466
cited_by_count	0
locations_count	1
best_oa_location.id	doi:10.1209/0295-5075/adba0b
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S161185981
best_oa_location.source.issn	0295-5075, 1286-4854
best_oa_location.source.type	journal
best_oa_location.source.is_oa	False
best_oa_location.source.issn_l	0295-5075
best_oa_location.source.is_core	True
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	Europhysics Letters (EPL)
best_oa_location.source.host_organization	https://openalex.org/P4310311669
best_oa_location.source.host_organization_name	Institute of Physics
best_oa_location.source.host_organization_lineage	https://openalex.org/P4310311669
best_oa_location.source.host_organization_lineage_names	Institute of Physics
best_oa_location.license
best_oa_location.pdf_url	https://iopscience.iop.org/article/10.1209/0295-5075/adba0b/pdf
best_oa_location.version	publishedVersion
best_oa_location.raw_type	journal-article
best_oa_location.license_id
best_oa_location.is_accepted	True
best_oa_location.is_published	True
best_oa_location.raw_source_name	Europhysics Letters
best_oa_location.landing_page_url	https://doi.org/10.1209/0295-5075/adba0b
primary_location.id	doi:10.1209/0295-5075/adba0b
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S161185981
primary_location.source.issn	0295-5075, 1286-4854
primary_location.source.type	journal
primary_location.source.is_oa	False
primary_location.source.issn_l	0295-5075
primary_location.source.is_core	True
primary_location.source.is_in_doaj	False
primary_location.source.display_name	Europhysics Letters (EPL)
primary_location.source.host_organization	https://openalex.org/P4310311669
primary_location.source.host_organization_name	Institute of Physics
primary_location.source.host_organization_lineage	https://openalex.org/P4310311669
primary_location.source.host_organization_lineage_names	Institute of Physics
primary_location.license
primary_location.pdf_url	https://iopscience.iop.org/article/10.1209/0295-5075/adba0b/pdf
primary_location.version	publishedVersion
primary_location.raw_type	journal-article
primary_location.license_id
primary_location.is_accepted	True
primary_location.is_published	True
primary_location.raw_source_name	Europhysics Letters
primary_location.landing_page_url	https://doi.org/10.1209/0295-5075/adba0b
publication_date	2025-02-25
publication_year	2025
referenced_works	https://openalex.org/W2136429679, https://openalex.org/W2952555157, https://openalex.org/W3088727093, https://openalex.org/W1969075067, https://openalex.org/W2088806215, https://openalex.org/W2142471354, https://openalex.org/W1690656539, https://openalex.org/W2078896443, https://openalex.org/W1992273581, https://openalex.org/W1978622342, https://openalex.org/W1862518851, https://openalex.org/W4400481468, https://openalex.org/W2498647973, https://openalex.org/W2051257132, https://openalex.org/W2768023453, https://openalex.org/W2006908379, https://openalex.org/W2085829388
referenced_works_count	17
abstract_inverted_index.a	39
abstract_inverted_index.by	28, 45
abstract_inverted_index.in	8, 23
abstract_inverted_index.on	53
abstract_inverted_index.or	57
abstract_inverted_index.to	41
abstract_inverted_index.The	1, 14
abstract_inverted_index.and	11
abstract_inverted_index.but	31
abstract_inverted_index.can	17
abstract_inverted_index.the	5, 19, 24, 47, 54
abstract_inverted_index.This	36
abstract_inverted_index.also	32
abstract_inverted_index.lost	22
abstract_inverted_index.pole	6
abstract_inverted_index.than	51
abstract_inverted_index.Padé	2, 15
abstract_inverted_index.given	27
abstract_inverted_index.paper	37
abstract_inverted_index.itself	49
abstract_inverted_index.method	40
abstract_inverted_index.rather	50
abstract_inverted_index.methods	30
abstract_inverted_index.recover	18
abstract_inverted_index.relying	52
abstract_inverted_index.Abstract	0
abstract_inverted_index.analysis	7
abstract_inverted_index.function	56
abstract_inverted_index.identify	42
abstract_inverted_index.original	55
abstract_inverted_index.particle	12
abstract_inverted_index.performs	4
abstract_inverted_index.physical	59
abstract_inverted_index.physics.	13
abstract_inverted_index.presents	38
abstract_inverted_index.analyzing	46
abstract_inverted_index.mechanics	10
abstract_inverted_index.redundant	34, 43
abstract_inverted_index.introduces	33
abstract_inverted_index.polynomial	25
abstract_inverted_index.underlying	58
abstract_inverted_index.approximant	3, 16
abstract_inverted_index.information	21
abstract_inverted_index.principles.	60
abstract_inverted_index.singularity	20
abstract_inverted_index.statistical	9
abstract_inverted_index.perturbation	29
abstract_inverted_index.approximation	26, 48
abstract_inverted_index.singularities	44
abstract_inverted_index.singularities.	35
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	5
citation_normalized_percentile.value	0.08262766
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	True