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Multivalent Non-Carath\'eodory Functions Involving Higher Order Derivatives

Daniel Breaz|Kadhavoor Ragavan Karthikeyan|Sakkarai Lakshmi|Alagiriswamy Senguttuvan
대한수학회 (The Korean Mathematical Society)|2024.07|대한수학회논문집 (Communications of the KMS)|제39권 제3호|pp. 657-671|DOI 10.4134/CKMS.c230159

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키워드

convex functiondifferential subordinationAnalytic functionstarlike functionFekete-Szeg\H{o} problem
주제분류수학

초록

In this paper, we use higher order derivatives with regard to symmetric points to introduce a class of multivalent starlike functions. The major deviation is that we define some differential characterizations that are subordinate to a function whose real part is not greater than zero. The primary outcomes of this study are initial coefficients and the Fekete-Szeg\H{o} inequality for functions falling under the given class. Also, we have obtained an interesting subordination results involving symmetric functions. The results obtained here extend or unify the various other well-known and new results.

Abstract

In this paper, we use higher order derivatives with regard to symmetric points to introduce a class of multivalent starlike functions. The major deviation is that we define some differential characterizations that are subordinate to a function whose real part is not greater than zero. The primary outcomes of this study are initial coefficients and the Fekete-Szeg\H{o} inequality for functions falling under the given class. Also, we have obtained an interesting subordination results involving symmetric functions. The results obtained here extend or unify the various other well-known and new results.

참고문헌 (35)

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