Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator

Erhan Deniz; Halit Orhan

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 3, page 699-713
  • ISSN: 0011-4642

Abstract

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By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the ( j , δ ) -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.

How to cite

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Deniz, Erhan, and Orhan, Halit. "Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator." Czechoslovak Mathematical Journal 60.3 (2010): 699-713. <http://eudml.org/doc/38037>.

@article{Deniz2010,
abstract = {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.},
author = {Deniz, Erhan, Orhan, Halit},
journal = {Czechoslovak Mathematical Journal},
keywords = {neighborhoods; partial sums; integral means; generalized Ruscheweyh derivative; neighborhood; partial sum; integral mean; generalized Ruscheweyh derivative},
language = {eng},
number = {3},
pages = {699-713},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator},
url = {http://eudml.org/doc/38037},
volume = {60},
year = {2010},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 3
SP - 699
EP - 713
AB - 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.
LA - eng
KW - neighborhoods; partial sums; integral means; generalized Ruscheweyh derivative; neighborhood; partial sum; integral mean; generalized Ruscheweyh derivative
UR - http://eudml.org/doc/38037
ER -

References

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