Journal
AIMS MATHEMATICS
Volume 8, Issue 8, Pages 18474-18490Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2023939
Keywords
spiral-like function; subordination; Mittag-Leffler function; fractional calculus; Caputo's derivative operator
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In this paper, the modified Caputo's derivative operator is applied to introduce two new subclasses of spiral-like functions, namely the spiral-starlike functions and spiral-convex functions. The inclusion properties of these subclasses are elaborated by considering the generalization of the Mittag-Leffler function and its integral transformation. Consequently, the subordination result for the functions in the class of spiral-like functions is obtained.
In this paper, the authors apply the modified Caputo's derivative operator, to introduce two new subclasses of spiral-like functions, namely the spiral-starlike functions and spiral-convex functions. In addition to this we, elaborate on the inclusion properties of these subclasses by considering the generalization of the Mittag-Leffler function and its integral transformation. Consequently, we obtain the subordination result for the functions in the class of spiral-like functions.
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