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In this study, we consider different types of convex-exponent products of elements of a certain class of log-harmonic mapping and then find sufficient conditions for them to be starlike log-harmonic… Click to show full abstract
In this study, we consider different types of convex-exponent products of elements of a certain class of log-harmonic mapping and then find sufficient conditions for them to be starlike log-harmonic functions. For instance, we show that, if f is a spirallike function, then choosing a suitable value of γ, the log-harmonic mapping F(z)=f(z)|f(z)|2γ is α-spiralike of order ρ. Our results generalize earlier work in the literature.
Keywords:
criteria convex;
log harmonic;
log;
harmonic functions;
new criteria;
convex exponent
Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
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Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!