Neighborhoods of a certain family of multivalent functions with negative coefficients
By making use of the familiar concept of neighborhoods of analytic and p-valent functions, the authors prove coefficient bounds and distortion inequalities, and associated inclusion relations for the ( n, δ)-neighborhoods of a family of multivalent functions with negative coefficients, which is defi...
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Veröffentlicht in: | Computers & mathematics with applications (1987) 2004-05, Vol.47 (10), p.1667-1672 |
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container_title | Computers & mathematics with applications (1987) |
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creator | Altintaş, O. Özkan, Ö. Srivastava, H.M. |
description | By making use of the familiar concept of neighborhoods of analytic and
p-valent functions, the authors prove coefficient bounds and distortion inequalities, and associated inclusion relations for the (
n, δ)-neighborhoods of a family of multivalent functions with negative coefficients, which is defined by means of a certain nonhomogeneous Cauchy-Euler differential equation. Relevant connections of the various function classes investigated in this paper with those considered by earlier workers on the subject are also mentioned. |
doi_str_mv | 10.1016/j.camwa.2004.06.014 |
format | Article |
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p-valent functions, the authors prove coefficient bounds and distortion inequalities, and associated inclusion relations for the (
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source | Elsevier ScienceDirect Journals Complete; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
subjects | ( n δ)-neighborhood Analytic functions Cauchy-Euler differential equation Convex functions Distortion inequalities Inclusion relations p-valent functions Starlike functions Univalent functions |
title | Neighborhoods of a certain family of multivalent functions with negative coefficients |
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