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NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS

Year 2014, Volume: 2 Issue: 2, 102 - 108, 01.12.2014

T. Ram Reddy P. Thırupathıreddy

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]

Keywords

Neighbourhood Subordination Hadamard Product

Year 2014, Volume: 2 Issue: 2, 102 - 108, 01.12.2014

T. Ram Reddy P. Thırupathıreddy

Abstract

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Details

Journal Section Articles
Authors

T. Ram Reddy This is me

P. Thırupathıreddy This is me

Publication Date December 1, 2014
Submission Date April 4, 2015
Published in Issue Year 2014 Volume: 2 Issue: 2

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APA Reddy, T. R., & Thırupathıreddy, P. (2014). NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS. Konuralp Journal of Mathematics, 2(2), 102-108.
AMA Reddy TR, Thırupathıreddy P. NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS. Konuralp J. Math. October 2014;2(2):102-108.
Chicago Reddy, T. Ram, and P. Thırupathıreddy. “NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 2, no. 2 (October 2014): 102-8.
EndNote Reddy TR, Thırupathıreddy P (October 1, 2014) NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS. Konuralp Journal of Mathematics 2 2 102–108.
IEEE T. R. Reddy and P. Thırupathıreddy, “NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS”, Konuralp J. Math., vol. 2, no. 2, pp. 102–108, 2014.
ISNAD Reddy, T. Ram - Thırupathıreddy, P. “NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 2/2 (October 2014), 102-108.
JAMA Reddy TR, Thırupathıreddy P. NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS. Konuralp J. Math. 2014;2:102–108.
MLA Reddy, T. Ram and P. Thırupathıreddy. “NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS”. Konuralp Journal of Mathematics, vol. 2, no. 2, 2014, pp. 102-8.
Vancouver Reddy TR, Thırupathıreddy P. NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS. Konuralp J. Math. 2014;2(2):102-8.
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