Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 3, pp. 699-713
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the $(j,\delta )$-neighborhoods of various subclasses of starlike and convex functions of complex order $b$ which are defined by the generalized Ruscheweyh derivative operator. Further, partial sums and integral means inequalities for these function classes are studied. Relevant connections with some other recent investigations are also pointed out.
By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the $(j,\delta )$-neighborhoods of various subclasses of starlike and convex functions of complex order $b$ which are defined by the generalized Ruscheweyh derivative operator. Further, partial sums and integral means inequalities for these function classes are studied. Relevant connections with some other recent investigations are also pointed out.
Classification :
30C45
Keywords: neighborhoods; partial sums; integral means; generalized Ruscheweyh derivative
Keywords: neighborhoods; partial sums; integral means; generalized Ruscheweyh derivative
@article{CMJ_2010_60_3_a8,
author = {Deniz, Erhan and Orhan, Halit},
title = {Some properties of certain subclasses of analytic functions with negative coefficients by using generalized {Ruscheweyh} derivative operator},
journal = {Czechoslovak Mathematical Journal},
pages = {699--713},
year = {2010},
volume = {60},
number = {3},
mrnumber = {2672411},
zbl = {1224.30045},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_3_a8/}
}
TY - JOUR AU - Deniz, Erhan AU - Orhan, Halit TI - Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator JO - Czechoslovak Mathematical Journal PY - 2010 SP - 699 EP - 713 VL - 60 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMJ_2010_60_3_a8/ LA - en ID - CMJ_2010_60_3_a8 ER -
%0 Journal Article %A Deniz, Erhan %A Orhan, Halit %T Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator %J Czechoslovak Mathematical Journal %D 2010 %P 699-713 %V 60 %N 3 %U http://geodesic.mathdoc.fr/item/CMJ_2010_60_3_a8/ %G en %F CMJ_2010_60_3_a8
Deniz, Erhan; Orhan, Halit. Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 3, pp. 699-713. http://geodesic.mathdoc.fr/item/CMJ_2010_60_3_a8/