Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Journal of Siberian Federal University. Mathematics & Physics, 2025, Volume 18, Issue 1, Pages 5–13 (Mi jsfu1216)  
Certain integral formulas involving products of two incomplete beta functions

Ahmed Ali Atash

Department of Mathematics, Faculty of Education – Shabwah, Shabwah University, Yemen
Full-text PDF (112 kB)
References:
PDF
HTML
Abstract: The aim of this paper is to obtain some integral formulas involving products of two incomplete beta functions in terms of general triple hypergeometric series and Kampé de Fériet function. Some new particular integral formulas involving the incomplete beta function are also calculated as an application of our main results with the help of Whipple, Dixon and extension of Dixon summation theorems.
Keywords: incomplete beta function, Integral formulas, Kampé de Fériet function, General triple hypergeometric series.
Received: 10.08.2024
Received in revised form: 11.09.2024
Accepted: 24.10.2024
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Citation: Ahmed Ali Atash, “Certain integral formulas involving products of two incomplete beta functions”, J. Sib. Fed. Univ. Math. Phys., 18:1 (2025), 5–13
Citation in format AMSBIB
\Bibitem{Ata25}
\by Ahmed~Ali~Atash
\paper Certain integral formulas involving products of two incomplete beta functions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2025
\vol 18
\issue 1
\pages 5--13
\mathnet{http://mi.mathnet.ru/jsfu1216}
\edn{https://elibrary.ru/ACYSPC}
Linking options:
  • https://www.mathnet.ru/eng/jsfu1216
  • https://www.mathnet.ru/eng/jsfu/v18/i1/p5
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:74
    Full-text PDF :222
    References:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025