Analog of the Weierstrass Theorem and the Blaschke Product for A(z)-analytic Functions

We consider A(z)-analytic functions in the case when A(z) is an antiholomorpic function. For A(z)-analytic functions analogs of the Weierstrass theorem and of the Blaschke theorem are proved.

Saved in:
Bibliographic Details
Published in:Journal of Siberian Federal University. Mathematics & Physics Vol. 16; no. 4; pp. 420 - 430
Main Authors: Ne'matillayeva, Muhayyo, Khursanov, Shohruh
Format: Journal Article
Language:English
Published: Krasnoyarsk Siberian Federal University 01.10.2023
Subjects:
Analytic functions
Graphs
Mathematical analysis
Theorems
ISSN:1997-1397, 2313-6022
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract We consider A(z)-analytic functions in the case when A(z) is an antiholomorpic function. For A(z)-analytic functions analogs of the Weierstrass theorem and of the Blaschke theorem are proved.
AbstractList We consider A(z)-analytic functions in the case when A(z) is an antiholomorpic function. For A(z)-analytic functions analogs of the Weierstrass theorem and of the Blaschke theorem are proved.
Author Ne'matillayeva, Muhayyo
Khursanov, Shohruh
Author_xml – sequence: 1
  givenname: Muhayyo
  surname: Ne'matillayeva
  fullname: Ne'matillayeva, Muhayyo
– sequence: 2
  givenname: Shohruh
  surname: Khursanov
  fullname: Khursanov, Shohruh
BookMark eNotzkFLwzAYxvEgE6xz3yHgRQ-BJG_XNMc6nBMGeih6HEma2M6azCQ96Ke3qKfn8MCf3yVa-ODtGSo4MCAV5XyBCialIAykuECrlI6UUi6rEkAU6KXxagxvODice4tf7WBjylGlhNvehmg_sPLd73c3qmT6d4ufY-gmk7ELETc337dEzY2vPBi8nbzJQ_DpCp07NSa7-t8larf37WZH9k8Pj5tmT06yzoQbCSV3XDumrapBCN1VnZtxHJwsde106Wa368Ra6MopWgtWWbMWQA1TAEt0_Zc9xfA52ZQPxzDFWZMOvC4lUMEFgx8lMU_w
ContentType Journal Article
Copyright 2023. This work is published under http://journal.sfu-kras.ru/en/series/mathematics_physics (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2023. This work is published under http://journal.sfu-kras.ru/en/series/mathematics_physics (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID 8FE
8FG
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
BYOGL
CCPQU
DWQXO
HCIFZ
L6V
M7S
P5Z
P62
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
DatabaseName ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
ProQuest Central Essentials - QC
ProQuest Central
Technology collection
East Europe, Central Europe Database
ProQuest One Community College
ProQuest Central
SciTech Premium Collection
ProQuest Engineering Collection
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Proquest Central Premium
ProQuest One Academic
ProQuest Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
DatabaseTitle Publicly Available Content Database
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest Central Korea
ProQuest Central (New)
Engineering Collection
Advanced Technologies & Aerospace Collection
Engineering Database
ProQuest One Academic Eastern Edition
East Europe, Central Europe Database
ProQuest Technology Collection
ProQuest SciTech Collection
Advanced Technologies & Aerospace Database
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
ProQuest One Academic
ProQuest One Academic (New)
DatabaseTitleList Publicly Available Content Database
Database_xml – sequence: 1
  dbid: BYOGL
  name: East Europe, Central Europe Database
  url: https://search.proquest.com/eastcentraleurope
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
EISSN 2313-6022
EndPage 430
GroupedDBID 5IG
8FE
8FG
ABJCF
ABUWG
ACIWK
AFKRA
ALMA_UNASSIGNED_HOLDINGS
ARAPS
AZQEC
BENPR
BGLVJ
BPHCQ
BYOGL
CCPQU
DWQXO
E4X
HCIFZ
L6V
M7S
P62
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PROAC
PTHSS
ID FETCH-LOGICAL-p98t-2c9342f2bf1bea8377bd6df29623f94b8fb4f139fd757b6fa08716ec5730c1a33
IEDL.DBID M7S
ISSN 1997-1397
IngestDate Sun Jul 13 04:20:28 EDT 2025
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 4
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-p98t-2c9342f2bf1bea8377bd6df29623f94b8fb4f139fd757b6fa08716ec5730c1a33
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
OpenAccessLink https://www.proquest.com/docview/2849307271?pq-origsite=%requestingapplication%
PQID 2849307271
PQPubID 2035022
PageCount 11
ParticipantIDs proquest_journals_2849307271
PublicationCentury 2000
PublicationDate 20231001
PublicationDateYYYYMMDD 2023-10-01
PublicationDate_xml – month: 10
  year: 2023
  text: 20231001
  day: 01
PublicationDecade 2020
PublicationPlace Krasnoyarsk
PublicationPlace_xml – name: Krasnoyarsk
PublicationTitle Journal of Siberian Federal University. Mathematics & Physics
PublicationYear 2023
Publisher Siberian Federal University
Publisher_xml – name: Siberian Federal University
SSID ssj0002964337
Score 2.240602
Snippet We consider A(z)-analytic functions in the case when A(z) is an antiholomorpic function. For A(z)-analytic functions analogs of the Weierstrass theorem and of...
SourceID proquest
SourceType Aggregation Database
StartPage 420
SubjectTerms Analytic functions
Graphs
Mathematical analysis
Theorems
Title Analog of the Weierstrass Theorem and the Blaschke Product for A(z)-analytic Functions
URI https://www.proquest.com/docview/2849307271
Volume 16
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVPQU
  databaseName: Advanced Technologies & Aerospace Database
  customDbUrl:
  eissn: 2313-6022
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002964337
  issn: 1997-1397
  databaseCode: P5Z
  dateStart: 20140401
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: East Europe, Central Europe Database
  customDbUrl:
  eissn: 2313-6022
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002964337
  issn: 1997-1397
  databaseCode: BYOGL
  dateStart: 20140401
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/eastcentraleurope
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 2313-6022
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002964337
  issn: 1997-1397
  databaseCode: M7S
  dateStart: 20140401
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 2313-6022
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002964337
  issn: 1997-1397
  databaseCode: BENPR
  dateStart: 20140401
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Publicly Available Content Database
  customDbUrl:
  eissn: 2313-6022
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002964337
  issn: 1997-1397
  databaseCode: PIMPY
  dateStart: 20140401
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/publiccontent
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELagZWDhIUA8SuWBAQYLYid1MqEWtQIJqggqKCyVn4AQSWkCA7-es5PCgMTC4sGWouh8vvvufP4OoQMqQs3AzRImpSChCfxjZU4UF5pTqaypSFwv-XAYj8dJWifcirqscm4TvaHWuXI58mMwownoI-XB6fSNuK5R7na1bqGxiJqOJYH60r2b7xyLu1JknjbTk446sPPL5Ho_Mlj97x-soZUaQeJuteXraMFkG-jWkYvkjzi3GBAdvjOuw3U5A2SM_et784pFpv1aD_CyenoxOK3IXjHAVtw9_DwiwhGUwFfxAJyd18dNNBr0R2fnpG6ZQKZJXBKqEhZSS6UNpBEQe3KpO9qCHCizSShjK0MLYrCaR1x2rDhx8ZJREZxzFQjGtlAjyzOzjTDgPAPhIOdMxQ60JCY2EQc8IRNqYh3soNZcSpNa7YvJj4h2_17eQ8uub3tVFddCjXL2bvbRkvoon4tZGzV7_WF63fa7CWMaPcBcenGV3n8BmSqtBQ
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LSwMxEA6lCnrxgYqPqjko6CHoZrfN5iBSH6WltRQs2tuyeamIu7VdFf1P_kcn2a4eBG89eA4Ewsx8880k-QahPRoHyoc0S3whYhJoz31WZkSyWDEqpNG5iGuHdbvhYMB7JfRZ_IWxzyoLTHRArVJpe-RHAKMc_JEy73T4TOzUKHu7WozQyN2ird_foGQbn7QuwL77lDYu--dNMpkqQIY8zAiV3A-oocJ4QsdQnjGhaspQDjzA8ECERgQGaJFRrMpEzcTHtqTQsgqhIL3Y9j8B8WcCC_7upeD1d0vH3mD6TqXTaZxabvUL4V3aaiz-swMvoYUJP8b13KGXUUknK-jGSqekdzg1GPgqvtV2fnc2At6PnbaAfsJxotzaGVQD8v5R414uZYuBlOP6wcchia38CuyKG5DKXbStov40TrKGykma6HWEgcVqKHYZ82VoKRnXoa4yYEuCUx0qbwNVCqNEk6AeRz8W2fx7eRfNNftXnajT6ra30LydUJ-__6ugcjZ60dtoVr5mD-PRjnMgjKIp2-8LaxAFvA
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1NS8MwGA5jinjxAxU_puagoIcwm7ZLexCZzuLYGD0MHV5KkyYqYju3qug_89_5Jm31IHjbwXMgEN6v53mTPC9CBzR2EhvKLLE5j4kjLfNZmRHB4oRRLpQsRFz7bDDwRiM_rKHP6i-MflZZ5USTqJNM6B55E9KoD_5ImdVU5bOIsBOcjZ-JniClb1qrcRqFi_Tk-xvQt-lptwO2PqQ0uBxeXJFywgAZ-15OqPBthyrKlcVlDFSN8aSVKOoDJlC-wz3FHQUQSSXMZbyl4hNNL6RwISyEFeteKGT_OQYUU_O-0L39bu_o20zbKHYavVONs35le1PCguV_fPgVtFTiZtwuHH0V1WS6hq61pEp2hzOFAcfiG6nneucT4APYaA7IJxyniVk7B5Yg7h8lDguJWwxgHbePPo5JrGVZYFccQIk3UbiOhrM4yQaqp1kqNxEGdCuBBDNmC09DNV960mWAorhPpZdYW6hRGSgqg30a_Vhn--_lfbQAZov63UFvBy3qwfXFs8AGqueTF7mL5sVr_jCd7Blfwiiasfm-AKgyDp8
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Analog+of+the+Weierstrass+Theorem+and+the+Blaschke+Product+for+A%28z%29-analytic+Functions&rft.jtitle=Journal+of+Siberian+Federal+University.+Mathematics+%26+Physics&rft.au=Ne%27matillayeva%2C+Muhayyo&rft.au=Khursanov%2C+Shohruh&rft.date=2023-10-01&rft.pub=Siberian+Federal+University&rft.issn=1997-1397&rft.eissn=2313-6022&rft.volume=16&rft.issue=4&rft.spage=420&rft.epage=430&rft.externalDBID=HAS_PDF_LINK
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1997-1397&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1997-1397&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1997-1397&client=summon