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STUDIA MATHEMATICA - Issue no. 4 / 2023 | |||||||
Article: |
SOME CLASSES OF JANOWSKI FUNCTIONS ASSOCIATED WITH CONIC DOMAIN AND A SHELL-LIKE CURVE INVOLVING RUSCHEWEYH DERIVATIVE. Authors: KADHAVOOR RAGAVAN KARTHIKEYAN, SEETHARAM VARADHARAJAN, SAKKARAI LAKSHMI. |
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Abstract: DOI: 10.24193/subbmath.2023.4.05 Received 16 September 2020; Accepted 06 January 2021.. Published Online: 2023-12-11 Published Print: 2023-12-30 pp. 755-765 VIEW PDF FULL PDF Making use of Ruscheweyh derivative, we define a new class of starlike functions of complex order subordinate to a conic domain impacted by Janowski functions. Coefficient estimates and Fekete-Szegő inequalities for the defined class are our main results. Some of our results generalize the related work of some authors. Mathematics Subject Classification (2010): 30C45. Keywords: Analytic function, Schwarz function, starlike, convex, shell-like functions, Janowski functions, subordination, Fekete-Szegő inequality, Ruscheweyh derivative |
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