On the analytic functions of order $n$ (application to the plane elasticity)
Author:
Saffet SĂĽray
Journal:
Quart. Appl. Math. 15 (1957), 283-290
MSC:
Primary 30.0X
DOI:
https://doi.org/10.1090/qam/89253
MathSciNet review:
89253
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P. Burgatti, Sulle funzioni analitiche d’ordine n, Boll, della Unione Mat. Italiana 1, 8-12 (1922).
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Almansi, Sull’ integrazione dell’ equazione differenziale ${\Delta ^{2m}} = 0$, Annali di matematica, serie III, II, 1-59 (1899).
P. Burgatti, Sulle funzioni analitiche d’ordine n, Boll, della Unione Mat. Italiana 1, 8-12 (1922).
R. Legendre, Fonctions harmoniques doublement complexes (Publications scientifiques et techniques).
Levi-Civita, Sopra una transformazione in se stessa della equazione ${\Delta _2}{\Delta _2} = 0$, Atti de Reale Instituto Veneto, IX, 1399-1410 (1897-1898).
Lord Kelvin, J. de Math. pure et appl., 12, 256 (1847).
P. F. Nemenyi, Z. angew. Math. u. Mech. 13 (1933).
P. F. Nemenyi, A. W. Seanz, On the geometry of two-dimensional elastic stress fields, J. Ratl. Mech. and Anal. 1, 73 (1952).
M. Nicolesco, Les fonctions polyharmoniques, Actualités scientifiques et industrielles, 331 (1936).
W. Prager, Rev. Math. Union Interbalkanique, 3, 43 (1941).
S. SÜray, Sur des familles de courbes attachees aux corps elastiques ou plastiques plans, Comm. Fac. Sc. Univ. d’Ankara, 1, (1948).
U. Wegner, Ingenieurarchiv 5, 449 (1934).
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Article copyright:
© Copyright 1957
American Mathematical Society
