The objective of this paper is to obtain sharp upper bound to the second Hankel functional associated with the root transform of normalized analytic function belonging to parabolic starlike and uniformly convex functions, defined on the open unit disc in the complex plane, using Toeplitz determinants.
Mots clés : Analytic function, parabolic starlike and uniformly convex functions, upper bound, second Hankel functional, positive real function, Toeplitz determinants.
D. Vamshee Krishna 1 ; B. Venkateswarlu 1 ; T. RamReddy 2
@article{AMBP_2014__21_2_39_0,
author = {D. Vamshee Krishna and B. Venkateswarlu and T. RamReddy},
title = {Coefficient inequality for transforms of parabolic starlike and uniformly convex functions},
journal = {Annales math\'ematiques Blaise Pascal},
pages = {39--56},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {21},
number = {2},
year = {2014},
doi = {10.5802/ambp.341},
mrnumber = {3322614},
language = {en},
url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.341/}
}
TY - JOUR AU - D. Vamshee Krishna AU - B. Venkateswarlu AU - T. RamReddy TI - Coefficient inequality for transforms of parabolic starlike and uniformly convex functions JO - Annales mathématiques Blaise Pascal PY - 2014 SP - 39 EP - 56 VL - 21 IS - 2 PB - Annales mathématiques Blaise Pascal UR - https://ambp.centre-mersenne.org/articles/10.5802/ambp.341/ DO - 10.5802/ambp.341 LA - en ID - AMBP_2014__21_2_39_0 ER -
%0 Journal Article %A D. Vamshee Krishna %A B. Venkateswarlu %A T. RamReddy %T Coefficient inequality for transforms of parabolic starlike and uniformly convex functions %J Annales mathématiques Blaise Pascal %D 2014 %P 39-56 %V 21 %N 2 %I Annales mathématiques Blaise Pascal %U https://ambp.centre-mersenne.org/articles/10.5802/ambp.341/ %R 10.5802/ambp.341 %G en %F AMBP_2014__21_2_39_0
D. Vamshee Krishna; B. Venkateswarlu; T. RamReddy. Coefficient inequality for transforms of parabolic starlike and uniformly convex functions. Annales mathématiques Blaise Pascal, Tome 21 (2014) no. 2, pp. 39-56. doi : 10.5802/ambp.341. https://ambp.centre-mersenne.org/articles/10.5802/ambp.341/
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