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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 463–468
DOI: https://doi.org/10.17377/smzh.2016.57.218 (Mi smj2757) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A note on a class of $p$-valent starlike functions of order $\beta$

S. K. Sahoo, N. L. Sharma

Indian Institute of Technology Indore, Indore, India
Full-text PDF (370 kB) Citations (6)
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DOI: https://doi.org/10.17377/smzh.2016.57.218
Abstract: We obtain sharp coefficient bounds for some $p$-valent starlike functions of order $\beta$, $0\le\beta<p$. Initially this problem was handled by Aouf in [1]. We pointed out that the proof by Aouf is incorrect and present a correct proof.
Keywords: $p$-valent analytic functions, starlike functions, differential subordination.
Funding agency Grant number
NBHM 2/39(20)/2010-R&D-II
The second author was supported by the National Board for Higher Mathematics, Department of Atomic Energy, India (Grant 2/39(20)/2010-R&D-II).
Received: 23.07.2014
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 364–368
DOI: https://doi.org/10.1134/S003744661602018X
Bibliographic databases:
Document Type: Article
UDC: 517.546
Language: Russian
Citation: S. K. Sahoo, N. L. Sharma, “A note on a class of $p$-valent starlike functions of order $\beta$”, Sibirsk. Mat. Zh., 57:2 (2016), 463–468; Siberian Math. J., 57:2 (2016), 364–368
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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