Fekete-Szegö Inequality for Universally Prestarlike Functions

Shanmugam, T.; Lourthu Mary, J.

Fractional Calculus and Applied Analysis (2010)

  • Volume: 13, Issue: 4, page 385-394
  • ISSN: 1311-0454

Abstract

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MSC 2010: 30C45The universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C [1;∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ (and other circular domains in C). In this paper, we obtain the coefficient inequalities and the Fekete-Szegö inequality for such functions.

How to cite

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Shanmugam, T., and Lourthu Mary, J.. "Fekete-Szegö Inequality for Universally Prestarlike Functions." Fractional Calculus and Applied Analysis 13.4 (2010): 385-394. <http://eudml.org/doc/219518>.

@article{Shanmugam2010,
abstract = {MSC 2010: 30C45The universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C [1;∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ (and other circular domains in C). In this paper, we obtain the coefficient inequalities and the Fekete-Szegö inequality for such functions.},
author = {Shanmugam, T., Lourthu Mary, J.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Prestarlike Functions; Universally Prestarlike Functions; Coeffcients; Fekete-Szegö Inequality; Fekete-Szegö inequality; prestarlike functions; universally prestarlike functions},
language = {eng},
number = {4},
pages = {385-394},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Fekete-Szegö Inequality for Universally Prestarlike Functions},
url = {http://eudml.org/doc/219518},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Shanmugam, T.
AU - Lourthu Mary, J.
TI - Fekete-Szegö Inequality for Universally Prestarlike Functions
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 4
SP - 385
EP - 394
AB - MSC 2010: 30C45The universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C [1;∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ (and other circular domains in C). In this paper, we obtain the coefficient inequalities and the Fekete-Szegö inequality for such functions.
LA - eng
KW - Prestarlike Functions; Universally Prestarlike Functions; Coeffcients; Fekete-Szegö Inequality; Fekete-Szegö inequality; prestarlike functions; universally prestarlike functions
UR - http://eudml.org/doc/219518
ER -

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