Geodesic
Pleijel type identities
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2009), pp. 32-37.

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In the present paper generalizations of classical Pleijel identities are obtained. We refer these identities as Pleijel type identities. Particular cases of these identities are proved in [1], [3] and [5].
Keywords: bounded convex domains, combinatorial decompositions, combinatorial algorithm. 
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N. G. Aharonyan. Pleijel type identities. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2009), pp. 32-37. http://geodesic.mathdoc.fr/item/UZERU_2009_2_a5/

[1] R.V. Ambartzumian, Combinatorial Integral Geometry with Applications to Mathematical Stereology, John Wiley $\$ Sons, Chichester, 1982 | MR | Zbl

[2] R.V. Ambartzumian, Factorization Calculus and Geometric Probability, Cambridge University Press, Cambridge, 1990 | MR | Zbl

[3] R.V. Ambartzumian, Combinatorial Principles in Stochastic Geometry, Collection of papers, NAS RA press, Yer., 1980 | MR

[4] N.G. Aharonyan, “Generalized Pleijel identity”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 43:5 (2008), 257–264 | DOI | MR | Zbl

[5] R.V. Ambartzumian, “Integration of combinatorial decompositions in the presence of collinearities”, Journal of Contemporary Mathematical Analysis (Armenian Academy of siences), 43:1 (2008), 3–20 | DOI | MR | Zbl

[6] R.V. Ambartzumian, “Tomography models of random convex polygons”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 44:1 (2009), 25–35 | DOI | MR

[7] N.G. Aharonyan, V.K. Ohanyan, “Two comments on the paper by R. V.Ambartzumian on desintegration”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 36:4, 40–50 | MR