Loading [MathJax]/jax/output/SVG/config.js
Sibirskii Zhurnal Vychislitel'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Vychislitel'noi Matematiki, 1998, Volume 1, Number 4, Pages 391–395 (Mi sjvm318)  
This article is cited in 4 scientific papers (total in 4 papers)

On completeness of hemispherical harmonics system

V. V. Smelov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (259 kB) Citations (4)
References:
PDF
HTML
Abstract: Completeness of the hemispherical harmonics system is proved, and the exact formula for the square of their norm is found (simultaneously, the recursion formula for the Jacobi adjoined function is derived).
Received: 19.06.1998
Bibliographic databases:
Document Type: Article
UDC: 517.564
Language: Russian
Citation: V. V. Smelov, “On completeness of hemispherical harmonics system”, Sib. Zh. Vychisl. Mat., 1:4 (1998), 391–395
Citation in format AMSBIB
\Bibitem{Sme98}
\by V.~V.~Smelov
\paper On completeness of hemispherical harmonics system
\jour Sib. Zh. Vychisl. Mat.
\yr 1998
\vol 1
\issue 4
\pages 391--395
\mathnet{http://mi.mathnet.ru/sjvm318}
\zmath{https://zbmath.org/?q=an:0917.42029}
Linking options:
  • https://www.mathnet.ru/eng/sjvm318
  • https://www.mathnet.ru/eng/sjvm/v1/i4/p391
    • This publication is cited in the following 4 articles:
    1. Tracheva N., Ukhinov S., “On the Evaluation of Spatial-Angular Distributions of Polarization Characteristics of Scattered Radiation”, Stat. Pap., 59:4, SI (2018), 1541–1557  crossref  mathscinet  zmath  isi  scopus
    2. Tracheva N.V., Ukhinov S.A., “Two-Dimensional Projection Monte Carlo Estimators For the Study of Angular Characteristics of Polarized Radiation”, Russ. J. Numer. Anal. Math. Model, 33:3 (2018), 187–197  crossref  mathscinet  zmath  isi  scopus
    3. Tracheva N.V., Ukhinov S.A., “On the Monte Carlo Based Algorithm For the Estimation of Bidirectional Angular Characteristics of Polarized Radiation”, Proceedings of Spie, 10833, eds. Matvienko G., Romanovskii O., Spie-Int Soc Optical Engineering, 2018, UNSP 1083323  crossref  mathscinet  isi  scopus
    4. Hayward R.M., Rahnema F., “Comet-Pe: an Incident Fluence Response Expansion Transport Method for Radiotherapy Calculations”, Phys. Med. Biol., 58:10 (2013), 3125–3143  crossref  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:372
    Full-text PDF :162
    References:74
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025