Kapteyn series and photon emission
Sums of Kapteyn series of several types are obtained and relations between them are found. Special attention is paid to series whose sums are expressed in terms of transcendent functions. Their asymptotics are determined. In some cases, integral representations were obtained and reduced to the form...
Gespeichert in:
| Veröffentlicht in: | Bulletin of the Lebedev Physics Institute 2014-11, Vol.41 (11), p.332-338 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 338 |
|---|---|
| container_issue | 11 |
| container_start_page | 332 |
| container_title | Bulletin of the Lebedev Physics Institute |
| container_volume | 41 |
| creator | Nikishov, A. I. |
| description | Sums of Kapteyn series of several types are obtained and relations between them are found. Special attention is paid to series whose sums are expressed in terms of transcendent functions. Their asymptotics are determined. In some cases, integral representations were obtained and reduced to the form convenient for numerical calculations. The electron lifetime in a constant electromagnetic field before photon emission is determined. It was indicated that this time increases with the ultrarelativistic electron energy in a strong constant field. |
| doi_str_mv | 10.3103/S1068335614110062 |
| format | Article |
| fullrecord | <record><control><sourceid>crossref_sprin</sourceid><recordid>TN_cdi_crossref_primary_10_3103_S1068335614110062</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_3103_S1068335614110062</sourcerecordid><originalsourceid>FETCH-LOGICAL-c288t-b15c1cc80bffe2a6f0ecb630a6d0a62ac8dc951526c6c613b8b03d065ebb1d293</originalsourceid><addsrcrecordid>eNp9j0tLQzEQhYMoWKs_wN3FfXQmaULuUoqPYsGFCu5CnnqLTS7JddF_b0rdCTIMM3DmO8wh5BLhmiPwmxcEqTgXEheIAJIdkRn2fEEVV-_HbW8y3eun5KzWDYAQqhczcvVkxinsUldDGULtTPLd-JmnnLqwHWodcjonJ9F81XDxO-fk7f7udflI188Pq-Xtmjqm1EQtCofOKbAxBmZkhOCs5GCkb82MU971AgWTrhVyqyxwD1IEa9Gzns8JHnxdybWWEPVYhq0pO42g9yH1n5CNYQemttv0EYre5O-S2pv_QD9U_1Mx</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Kapteyn series and photon emission</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>Springer Nature - Complete Springer Journals</source><creator>Nikishov, A. I.</creator><creatorcontrib>Nikishov, A. I.</creatorcontrib><description>Sums of Kapteyn series of several types are obtained and relations between them are found. Special attention is paid to series whose sums are expressed in terms of transcendent functions. Their asymptotics are determined. In some cases, integral representations were obtained and reduced to the form convenient for numerical calculations. The electron lifetime in a constant electromagnetic field before photon emission is determined. It was indicated that this time increases with the ultrarelativistic electron energy in a strong constant field.</description><identifier>ISSN: 1068-3356</identifier><identifier>EISSN: 1934-838X</identifier><identifier>DOI: 10.3103/S1068335614110062</identifier><language>eng</language><publisher>Heidelberg: Allerton Press</publisher><subject>Physics ; Physics and Astronomy</subject><ispartof>Bulletin of the Lebedev Physics Institute, 2014-11, Vol.41 (11), p.332-338</ispartof><rights>Allerton Press, Inc. 2014</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c288t-b15c1cc80bffe2a6f0ecb630a6d0a62ac8dc951526c6c613b8b03d065ebb1d293</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.3103/S1068335614110062$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.3103/S1068335614110062$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,41471,42540,51302</link.rule.ids></links><search><creatorcontrib>Nikishov, A. I.</creatorcontrib><title>Kapteyn series and photon emission</title><title>Bulletin of the Lebedev Physics Institute</title><addtitle>Bull. Lebedev Phys. Inst</addtitle><description>Sums of Kapteyn series of several types are obtained and relations between them are found. Special attention is paid to series whose sums are expressed in terms of transcendent functions. Their asymptotics are determined. In some cases, integral representations were obtained and reduced to the form convenient for numerical calculations. The electron lifetime in a constant electromagnetic field before photon emission is determined. It was indicated that this time increases with the ultrarelativistic electron energy in a strong constant field.</description><subject>Physics</subject><subject>Physics and Astronomy</subject><issn>1068-3356</issn><issn>1934-838X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9j0tLQzEQhYMoWKs_wN3FfXQmaULuUoqPYsGFCu5CnnqLTS7JddF_b0rdCTIMM3DmO8wh5BLhmiPwmxcEqTgXEheIAJIdkRn2fEEVV-_HbW8y3eun5KzWDYAQqhczcvVkxinsUldDGULtTPLd-JmnnLqwHWodcjonJ9F81XDxO-fk7f7udflI188Pq-Xtmjqm1EQtCofOKbAxBmZkhOCs5GCkb82MU971AgWTrhVyqyxwD1IEa9Gzns8JHnxdybWWEPVYhq0pO42g9yH1n5CNYQemttv0EYre5O-S2pv_QD9U_1Mx</recordid><startdate>20141101</startdate><enddate>20141101</enddate><creator>Nikishov, A. I.</creator><general>Allerton Press</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20141101</creationdate><title>Kapteyn series and photon emission</title><author>Nikishov, A. I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c288t-b15c1cc80bffe2a6f0ecb630a6d0a62ac8dc951526c6c613b8b03d065ebb1d293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Physics</topic><topic>Physics and Astronomy</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nikishov, A. I.</creatorcontrib><collection>CrossRef</collection><jtitle>Bulletin of the Lebedev Physics Institute</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nikishov, A. I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Kapteyn series and photon emission</atitle><jtitle>Bulletin of the Lebedev Physics Institute</jtitle><stitle>Bull. Lebedev Phys. Inst</stitle><date>2014-11-01</date><risdate>2014</risdate><volume>41</volume><issue>11</issue><spage>332</spage><epage>338</epage><pages>332-338</pages><issn>1068-3356</issn><eissn>1934-838X</eissn><abstract>Sums of Kapteyn series of several types are obtained and relations between them are found. Special attention is paid to series whose sums are expressed in terms of transcendent functions. Their asymptotics are determined. In some cases, integral representations were obtained and reduced to the form convenient for numerical calculations. The electron lifetime in a constant electromagnetic field before photon emission is determined. It was indicated that this time increases with the ultrarelativistic electron energy in a strong constant field.</abstract><cop>Heidelberg</cop><pub>Allerton Press</pub><doi>10.3103/S1068335614110062</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1068-3356 |
| ispartof | Bulletin of the Lebedev Physics Institute, 2014-11, Vol.41 (11), p.332-338 |
| issn | 1068-3356 1934-838X |
| language | eng |
| recordid | cdi_crossref_primary_10_3103_S1068335614110062 |
| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Springer Nature - Complete Springer Journals |
| subjects | Physics Physics and Astronomy |
| title | Kapteyn series and photon emission |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-16T08%3A30%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_sprin&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Kapteyn%20series%20and%20photon%20emission&rft.jtitle=Bulletin%20of%20the%20Lebedev%20Physics%20Institute&rft.au=Nikishov,%20A.%20I.&rft.date=2014-11-01&rft.volume=41&rft.issue=11&rft.spage=332&rft.epage=338&rft.pages=332-338&rft.issn=1068-3356&rft.eissn=1934-838X&rft_id=info:doi/10.3103/S1068335614110062&rft_dat=%3Ccrossref_sprin%3E10_3103_S1068335614110062%3C/crossref_sprin%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |