{"id":"https://openalex.org/W4205322188","doi":"https://doi.org/10.1007/s00034-021-01911-6","title":"Fractionalization of a Discrete Hankel Transform Based on an Involutory Symmetric Kernel Matrix","display_name":"Fractionalization of a Discrete Hankel Transform Based on an Involutory Symmetric Kernel Matrix","publication_year":2022,"publication_date":"2022-01-03","ids":{"openalex":"https://openalex.org/W4205322188","doi":"https://doi.org/10.1007/s00034-021-01911-6"},"language":"en","primary_location":{"id":"doi:10.1007/s00034-021-01911-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-021-01911-6","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069248573","display_name":"Magdy Tawfik Hanna","orcid":"https://orcid.org/0000-0001-5387-3073"},"institutions":[{"id":"https://openalex.org/I66513531","display_name":"Fayoum University","ror":"https://ror.org/023gzwx10","country_code":"EG","type":"education","lineage":["https://openalex.org/I66513531"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Magdy Tawfik Hanna","raw_affiliation_strings":["Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, Fayoum, 63514, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, Fayoum, 63514, Egypt","institution_ids":["https://openalex.org/I66513531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069248573"],"corresponding_institution_ids":["https://openalex.org/I66513531"],"apc_list":null,"apc_paid":null,"fwci":0.4077,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57387447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"41","issue":"5","first_page":"2750","last_page":"2778"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7730385065078735},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.6879774928092957},{"id":"https://openalex.org/keywords/hankel-transform","display_name":"Hankel transform","score":0.638141393661499},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.6283557415008545},{"id":"https://openalex.org/keywords/orthogonal-matrix","display_name":"Orthogonal matrix","score":0.5123676061630249},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5040223002433777},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4823314845561981},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4578065574169159},{"id":"https://openalex.org/keywords/orthonormality","display_name":"Orthonormality","score":0.42339470982551575},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3794199526309967},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.3503855764865875},{"id":"https://openalex.org/keywords/orthogonal-basis","display_name":"Orthogonal basis","score":0.1906854808330536},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0885983407497406}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7730385065078735},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.6879774928092957},{"id":"https://openalex.org/C57640460","wikidata":"https://www.wikidata.org/wiki/Q155208","display_name":"Hankel transform","level":3,"score":0.638141393661499},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.6283557415008545},{"id":"https://openalex.org/C44292817","wikidata":"https://www.wikidata.org/wiki/Q333871","display_name":"Orthogonal matrix","level":3,"score":0.5123676061630249},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5040223002433777},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4823314845561981},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4578065574169159},{"id":"https://openalex.org/C92951342","wikidata":"https://www.wikidata.org/wiki/Q1411166","display_name":"Orthonormality","level":3,"score":0.42339470982551575},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3794199526309967},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.3503855764865875},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.1906854808330536},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0885983407497406},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00034-021-01911-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-021-01911-6","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1483804921","https://openalex.org/W1527960957","https://openalex.org/W1758003804","https://openalex.org/W1964099320","https://openalex.org/W1968110282","https://openalex.org/W1973488204","https://openalex.org/W1974012616","https://openalex.org/W1976099993","https://openalex.org/W1993410036","https://openalex.org/W1996113149","https://openalex.org/W1999014697","https://openalex.org/W2003101564","https://openalex.org/W2004797867","https://openalex.org/W2011451092","https://openalex.org/W2040545112","https://openalex.org/W2087201063","https://openalex.org/W2090697566","https://openalex.org/W2093014495","https://openalex.org/W2103298515","https://openalex.org/W2106134378","https://openalex.org/W2116983948","https://openalex.org/W2117875605","https://openalex.org/W2121185552","https://openalex.org/W2123955911","https://openalex.org/W2130659258","https://openalex.org/W2134752228","https://openalex.org/W2145576488","https://openalex.org/W2149116474","https://openalex.org/W2156985745","https://openalex.org/W2164261333","https://openalex.org/W2169181306","https://openalex.org/W2324246481","https://openalex.org/W2757898556","https://openalex.org/W4231353014","https://openalex.org/W4242849907","https://openalex.org/W4246389552","https://openalex.org/W4252112222","https://openalex.org/W4301621763","https://openalex.org/W4388295307"],"related_works":["https://openalex.org/W2013801824","https://openalex.org/W1529452180","https://openalex.org/W1496788307","https://openalex.org/W1591253575","https://openalex.org/W2149054915","https://openalex.org/W2138614992","https://openalex.org/W3178433292","https://openalex.org/W2363331359","https://openalex.org/W1981917738","https://openalex.org/W4210797834"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}