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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Issue no. 3 / 2017 | |||||||
Article: |
GEOMETRIC PROPERTIES AND NEIGHBORHOOD RESULTS FOR A SUBCLASS OF ANALYTIC FUNCTIONS INVOLVING KOMATU INTEGRAL. Authors: RITU AGARWAL, GAURI SHANKAR PALIWAL, HARI S. PARIHAR. |
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Abstract: DOI: 10.24193/subbmath.2017.3.10 Published Online: 2017-09-30 Published Print: 2017-09-30 pp. 377-394 VIEW PDF In this paper, a subclass of analytic function is defined using Komatu integral. Coefficient inequalities, Fekete-Szegö inequality, extreme points, radii of starlikeness and convexity and integral means inequality for this class are obtained. Distortion theorem for the generalized fractional integration introduced by Saigo are also obtained. The inclusion relations associated with the (n, μ)-neighborhood also have been found for this class. Keywords: analytic function, Komatu integral, coefficient inequality, Fekete-Szegö inequality, extreme points, radii of starlikeness and convexity, neighborhood results. Mathematics Subject Classification (2010): 47A15, 46A32, 47D20. |
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