{"id":"https://openalex.org/W2027008106","doi":"https://doi.org/10.1016/s0893-9659(04)90131-0","title":"Some generalizations of the Hadamard expansion for the modified Bessel function","display_name":"Some generalizations of the Hadamard expansion for the modified Bessel function","publication_year":2004,"publication_date":"2004-05-01","ids":{"openalex":"https://openalex.org/W2027008106","doi":"https://doi.org/10.1016/s0893-9659(04)90131-0","mag":"2027008106"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-9659(04)90131-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0893-9659(04)90131-0","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0893965904901310/pdf","source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0893965904901310/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110048616","display_name":"Shaw-Yang Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S Yang","raw_affiliation_strings":["Research Fellow in Mathematics, Canadian College for Chinese Studies 853 Cormorant Street, Victoria, British Columbia V8W 1R2, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Fellow in Mathematics, Canadian College for Chinese Studies 853 Cormorant Street, Victoria, British Columbia V8W 1R2, Canada","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079512627","display_name":"H. M. Srivastava","orcid":"https://orcid.org/0000-0002-9277-8092"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"H.M Srivastava","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Victoria Victoria, British Columbia V8W 3P4, Canada","Department of Mathematics and Statistics , University of Victoria, Victoria , British Columbia, V8W 3P4, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Victoria Victoria, British Columbia V8W 3P4, Canada","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Victoria, Victoria , British Columbia, V8W 3P4, Canada","institution_ids":["https://openalex.org/I212119943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079512627","https://openalex.org/A5110048616"],"corresponding_institution_ids":["https://openalex.org/I212119943"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":1.3287,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76864223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"5","first_page":"591","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.991100013256073,"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"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9635000228881836,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/hadamard-transform","display_name":"Hadamard transform","score":0.8780593276023865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8726090788841248},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.8688180446624756},{"id":"https://openalex.org/keywords/bessel-polynomials","display_name":"Bessel polynomials","score":0.5444530248641968},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.530523419380188},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5106132626533508},{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.5027501583099365},{"id":"https://openalex.org/keywords/struve-function","display_name":"Struve function","score":0.4955505132675171},{"id":"https://openalex.org/keywords/generalized-hypergeometric-function","display_name":"Generalized hypergeometric function","score":0.4818364381790161},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4757290184497833},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4171149730682373},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.351305216550827},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.11575713753700256},{"id":"https://openalex.org/keywords/wilson-polynomials","display_name":"Wilson polynomials","score":0.05654489994049072},{"id":"https://openalex.org/keywords/jacobi-polynomials","display_name":"Jacobi polynomials","score":0.05118906497955322},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.047954291105270386}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.8780593276023865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8726090788841248},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.8688180446624756},{"id":"https://openalex.org/C73295869","wikidata":"https://www.wikidata.org/wiki/Q4896402","display_name":"Bessel polynomials","level":5,"score":0.5444530248641968},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.530523419380188},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5106132626533508},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.5027501583099365},{"id":"https://openalex.org/C125065441","wikidata":"https://www.wikidata.org/wiki/Q2607374","display_name":"Struve function","level":5,"score":0.4955505132675171},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.4818364381790161},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4757290184497833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4171149730682373},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.351305216550827},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.11575713753700256},{"id":"https://openalex.org/C43176163","wikidata":"https://www.wikidata.org/wiki/Q8023263","display_name":"Wilson polynomials","level":4,"score":0.05654489994049072},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.05118906497955322},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.047954291105270386},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0893-9659(04)90131-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0893-9659(04)90131-0","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0893965904901310/pdf","source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0893-9659(04)90131-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0893-9659(04)90131-0","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0893965904901310/pdf","source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2027008106.pdf","grobid_xml":"https://content.openalex.org/works/W2027008106.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1499718604","https://openalex.org/W2040821434","https://openalex.org/W2081338783","https://openalex.org/W2148861663","https://openalex.org/W2585541220","https://openalex.org/W2596323328","https://openalex.org/W4399306097"],"related_works":["https://openalex.org/W2043953296","https://openalex.org/W2071051233","https://openalex.org/W2951876153","https://openalex.org/W2002304484","https://openalex.org/W4300834993","https://openalex.org/W2902061048","https://openalex.org/W2079705915","https://openalex.org/W2316185883","https://openalex.org/W2016508714","https://openalex.org/W1992272272"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}
