Ruscheweyh-type starlike functions of complex order associated with <i>q</i>-difference operator

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Cetinkaya A.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, vol.26, no.2, pp.385-398, 2020 (ESCI)

• Publication Type: Article / Article
• Volume: 26 Issue: 2
• Publication Date: 2020
• Doi Number: 10.1007/s40590-019-00268-w
• Journal Name: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
• Page Numbers: pp.385-398
• Istanbul Kültür University Affiliated: Yes

Abstract

In this paper, we introduce three new subclasses of starlike functions of complex order by using Ruscheweyh-type q-differential operator. We investigate inclusion theorem, sufficient coefficient estimates, distortion bounds and radius of starlikeness for the functions belonging to these subclasses. Moreover, partial sums of these subclasses were obtained.