On the mean values of an analytic function.
Annales Polonici Mathematici, Tome 57 (1992) no. 2, pp. 149-155
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Let f(z), $z = re^{iθ}$, be analytic in the finite disc |z| R. The growth properties of f(z) are studied using the mean values $I_δ(r)$ and the iterated mean values $N_{δ,k}(r)$ of f(z). A convexity result for the above mean values is obtained and their relative growth is studied using the order and type of f(z).
Keywords:
analytic function, maximum term, order, type, mean values
Affiliations des auteurs :
G. Srivastava 1 ; Sunita Rani 1
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author = {G. Srivastava and Sunita Rani},
title = {On the mean values of an analytic function.},
journal = {Annales Polonici Mathematici},
pages = {149--155},
year = {1992},
volume = {57},
number = {2},
doi = {10.4064/ap-57-2-149-155},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-57-2-149-155/}
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TY - JOUR AU - G. Srivastava AU - Sunita Rani TI - On the mean values of an analytic function. JO - Annales Polonici Mathematici PY - 1992 SP - 149 EP - 155 VL - 57 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-57-2-149-155/ DO - 10.4064/ap-57-2-149-155 LA - en ID - 10_4064_ap_57_2_149_155 ER -
G. Srivastava; Sunita Rani. On the mean values of an analytic function.. Annales Polonici Mathematici, Tome 57 (1992) no. 2, pp. 149-155. doi: 10.4064/ap-57-2-149-155
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