NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS

T. Ram REDDY; P. THIRUPATHIREDDY

Article Details

NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS

Authors:

T. Ram REDDY | P. THIRUPATHIREDDY

Publisher:

Mehmet Zeki SARIKAYA

Journal:

Konuralp Journal of Mathematics 2014 Vol.2 Issue 2, pp.102-108

Document Type:

Article

Publication Date:

11/2014

Document Language:

Turkish

Document ID (Org No.):

2000536788

Frequency:

Bi-Annual

eISSN:

2147-625X

Abstract:

 

In this paper, we investigate the properties of neighbourhoods offunctions for the classes U CV (α) and Sp(α). First we established an inclusion relationship between them and proved a necessary and sufficient conditioninterms of convolutions for a function f to be in Sp(α). Next we show thatthe class Sp(α) is closed under convolution with functions f (z) which are convex univalent. The results obtained in this which generalizes the results ofPadmanabhan [8] and Ronning [9].

Article Details

NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS

Authors: T. Ram REDDY | P. THIRUPATHIREDDY

Publisher: Mehmet Zeki SARIKAYA

Journal: Konuralp Journal of Mathematics 2014 Vol.2 Issue 2, pp.102-108

Document Type: Article

Publication Date: 11/2014

Document Language: Turkish

Document ID (Org No.): 2000536788

Frequency: Bi-Annual

eISSN: 2147-625X

Issues

Authors:

T. Ram REDDY | P. THIRUPATHIREDDY

Publisher:

Mehmet Zeki SARIKAYA

Journal:

Konuralp Journal of Mathematics 2014 Vol.2 Issue 2, pp.102-108

Document Type:

Article

Publication Date:

11/2014

Document Language:

Turkish

Document ID (Org No.):

2000536788

Frequency:

Bi-Annual

eISSN:

2147-625X