THE INTEGRAL EXPRESSION INVOLVING THE FAMILY OF LAGUERRE POLYNOMIALS AND BESSEL FUNCTION

A. K. Shukla; I. A. Salehbhai
{'id': 'https://openalex.org/W2006175968', 'doi': 'https://doi.org/10.4134/ckms.2012.27.4.721', 'title': 'THE INTEGRAL EXPRESSION INVOLVING THE FAMILY OF LAGUERRE POLYNOMIALS AND BESSEL FUNCTION', 'display_name': 'THE INTEGRAL EXPRESSION INVOLVING THE FAMILY OF LAGUERRE POLYNOMIALS AND BESSEL FUNCTION', 'publication_year': 2012, 'publication_date': '2012-10-31', 'ids': {'openalex': 'https://openalex.org/W2006175968', 'doi': 'https://doi.org/10.4134/ckms.2012.27.4.721', 'mag': '2006175968'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4134/ckms.2012.27.4.721', 'pdf_url': 'http://koreascience.or.kr:80/article/JAKO201232155110573.pdf', 'source': {'id': 'https://openalex.org/S202545642', 'display_name': 'Communications of the Korean Mathematical Society', 'issn_l': '1225-1763', 'issn': ['1225-1763', '2234-3024'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319501', 'host_organization_name': 'Korean Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310319501'], 'host_organization_lineage_names': ['Korean Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'http://koreascience.or.kr:80/article/JAKO201232155110573.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5084064139', 'display_name': 'A. K. Shukla', 'orcid': 'https://orcid.org/0000-0002-2713-2017'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Ajay Kumar Shukla', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5032764002', 'display_name': 'I. A. Salehbhai', 'orcid': 'https://orcid.org/0000-0001-9875-6305'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Ibrahim Abubaker Salehbhai', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.462234, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 72, 'max': 75}, 'biblio': {'volume': '27', 'issue': '4', 'first_page': '721', 'last_page': '732'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11428', 'display_name': 'Advanced Mathematical Identities', 'score': 0.9736, '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'}}, 'topics': [{'id': 'https://openalex.org/T11428', 'display_name': 'Advanced Mathematical Identities', 'score': 0.9736, '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'}}, {'id': 'https://openalex.org/T11191', 'display_name': 'Mathematical functions and polynomials', 'score': 0.9069, '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/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.9067, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/laguerre-polynomials', 'display_name': 'Laguerre polynomials', 'score': 0.7170808}, {'id': 'https://openalex.org/keywords/sigma', 'display_name': 'Sigma', 'score': 0.62498045}, {'id': 'https://openalex.org/keywords/beta', 'display_name': 'BETA (programming language)', 'score': 0.5302001}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8575711}, {'id': 'https://openalex.org/C108408018', 'wikidata': 'https://www.wikidata.org/wiki/Q1124546', 'display_name': 'Laguerre polynomials', 'level': 2, 'score': 0.7170808}, {'id': 'https://openalex.org/C107706756', 'wikidata': 'https://www.wikidata.org/wiki/Q219637', 'display_name': 'Bessel function', 'level': 2, 'score': 0.6883966}, {'id': 'https://openalex.org/C2778049214', 'wikidata': 'https://www.wikidata.org/wiki/Q7512234', 'display_name': 'Sigma', 'level': 2, 'score': 0.62498045}, {'id': 'https://openalex.org/C35235930', 'wikidata': 'https://www.wikidata.org/wiki/Q187235', 'display_name': 'Riemann zeta function', 'level': 2, 'score': 0.5415452}, {'id': 'https://openalex.org/C2776174256', 'wikidata': 'https://www.wikidata.org/wiki/Q830842', 'display_name': 'BETA (programming language)', 'level': 2, 'score': 0.5302001}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.4588559}, {'id': 'https://openalex.org/C2780414537', 'wikidata': 'https://www.wikidata.org/wiki/Q42292', 'display_name': 'Maple', 'level': 2, 'score': 0.45856512}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.43433806}, {'id': 'https://openalex.org/C82240120', 'wikidata': 'https://www.wikidata.org/wiki/Q190573', 'display_name': 'Gamma function', 'level': 2, 'score': 0.43022007}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.38769147}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.31282228}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.11434254}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.07359326}, {'id': 'https://openalex.org/C59822182', 'wikidata': 'https://www.wikidata.org/wiki/Q441', 'display_name': 'Botany', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.4134/ckms.2012.27.4.721', 'pdf_url': 'http://koreascience.or.kr:80/article/JAKO201232155110573.pdf', 'source': {'id': 'https://openalex.org/S202545642', 'display_name': 'Communications of the Korean Mathematical Society', 'issn_l': '1225-1763', 'issn': ['1225-1763', '2234-3024'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319501', 'host_organization_name': 'Korean Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310319501'], 'host_organization_lineage_names': ['Korean Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4134/ckms.2012.27.4.721', 'pdf_url': 'http://koreascience.or.kr:80/article/JAKO201232155110573.pdf', 'source': {'id': 'https://openalex.org/S202545642', 'display_name': 'Communications of the Korean Mathematical Society', 'issn_l': '1225-1763', 'issn': ['1225-1763', '2234-3024'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319501', 'host_organization_name': 'Korean Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310319501'], 'host_organization_lineage_names': ['Korean Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W1991615001', 'https://openalex.org/W2032644872', 'https://openalex.org/W2044915195', 'https://openalex.org/W2050558155', 'https://openalex.org/W2064586031', 'https://openalex.org/W2080836771', 'https://openalex.org/W2571005040'], 'related_works': ['https://openalex.org/W4292940980', 'https://openalex.org/W2964499708', 'https://openalex.org/W2578014824', 'https://openalex.org/W2373883749', 'https://openalex.org/W2160816886', 'https://openalex.org/W2151817761', 'https://openalex.org/W2086639589', 'https://openalex.org/W2036459900', 'https://openalex.org/W2003470946', 'https://openalex.org/W1593099772'], 'abstract_inverted_index': {'The': [0, 64], 'principal': [1], 'aim': [2], 'of': [3], 'the': [4], 'paper': [5], 'is': [6, 15, 48, 54], 'to': [7], 'investigate': [8], 'new': [9], 'integral': [10, 59], 'expression': [11], '<TEX>$${\\int}_0^{\\infty}x^{s+1}e^{-{\\sigma}x^2}L_m^{(\\gamma,\\delta)}\\;({\\zeta};{\\sigma}x^2)\\;L_n^{(\\alpha,\\beta)}\\;({\\xi};{\\sigma}x^2)\\;J_s\\;(xy)\\;dx$$</TEX>,': [12], 'where': [13], '<TEX>$y$</TEX>': [14], 'a': [16], 'positive': [17, 28], 'real': [18, 29, 41], 'number;': [19], '<TEX>$\\sigma$</TEX>,': [20], '<TEX>$\\zeta$</TEX>': [21], 'and': [22, 35, 51], '<TEX>$\\xi$</TEX>': [23], 'are': [24, 37, 43], 'complex': [25, 38], 'numbers': [26, 39], 'with': [27], 'parts;': [30], '<TEX>$s$</TEX>,': [31], '<TEX>$\\alpha$</TEX>,': [32], '<TEX>$\\beta$</TEX>,': [33], '<TEX>$\\gamma$</TEX>': [34], '<TEX>$\\delta$</TEX>': [36], 'whose': [40], 'parts': [42], 'greater': [44], 'than': [45], '-1;': [46], '<TEX>$J_n(x)$</TEX>': [47], 'Bessel': [49], 'function': [50], '<TEX>$L_n^{(\\alpha,\\beta)}$</TEX>': [52], '(<TEX>${\\gamma};x$</TEX>)': [53], 'generalized': [55], 'Laguerre': [56], 'polynomials.': [57], 'Some': [58], 'formulas': [60], 'have': [61], 'been': [62, 69], 'obtained.': [63], 'Maple': [65], 'implementation': [66], 'has': [67], 'also': [68], 'examined.': [70]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2006175968', 'counts_by_year': [{'year': 2020, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}], 'updated_date': '2024-12-13T21:52:51.142823', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
