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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

Authors

T. Ram Reddy This is me

P. Thırupathıreddy This is me

Submission Date April 4, 2015
Publication Date December 1, 2014
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. https://izlik.org/JA69ZU52KW
AMA 1.Reddy TR, Thırupathıreddy P. NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS. Konuralp J. Math. 2014;2(2):102-108. https://izlik.org/JA69ZU52KW
Chicago Reddy, T. Ram, and P. Thırupathıreddy. 2014. “NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 2 (2): 102-8. https://izlik.org/JA69ZU52KW.
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 [1]T. R. Reddy and P. Thırupathıreddy, “NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS”, Konuralp J. Math., vol. 2, no. 2, pp. 102–108, Oct. 2014, [Online]. Available: https://izlik.org/JA69ZU52KW
ISNAD Reddy, T. Ram - Thırupathıreddy, P. “NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 2/2 (October 1, 2014): 102-108. https://izlik.org/JA69ZU52KW.
JAMA 1.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, Oct. 2014, pp. 102-8, https://izlik.org/JA69ZU52KW.
Vancouver 1.Reddy TR, Thırupathıreddy P. NEIGHBOURHOODS OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS. Konuralp J. Math. [Internet]. 2014 Oct. 1;2(2):102-8. Available from: https://izlik.org/JA69ZU52KW
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