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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 2, Pages 216–224
DOI: https://doi.org/10.4213/tmf6604 (Mi tmf6604) 		 
This article is cited in 3 scientific papers (total in 3 papers)

An integral relation for tensor polynomials

P. A. Vshivtseva, V. I. Denisov, I. P. Denisova

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (373 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6604
Abstract: We prove two lemmas and one theorem that allow integrating the product of an arbitrary number of unit vectors and the Legendre polynomials over a sphere of arbitrary radius. Such integral tensor products appear in solving inhomogeneous Helmholtz equations whose right-hand side is proportional to the product of a nonfixed number of unit vectors.
Keywords: tensor relation, tensor Legendre polynomial, Gegenbauer theorem, pseudo-Riemannian geometry.
Received: 18.05.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 2, Pages 186–193
DOI: https://doi.org/10.1007/s11232-011-0013-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. A. Vshivtseva, V. I. Denisov, I. P. Denisova, “An integral relation for tensor polynomials”, TMF, 166:2 (2011), 216–224; Theoret. and Math. Phys., 166:2 (2011), 186–193
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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