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Far East Journal of Mathematical Sciences (FJMS)
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Abstract: We
consider certain harmonic starlike and convex
functions of the form
where h and g are analytic in
the unit disk. An auxiliary function enables
us to obtain necessary and sufficient
convolution conditions for these classes,
which lead to sufficient coefficient bounds
for their elements. We also consider
subclasses of them and we obtain extreme
points, sharp coefficient and distortion
bounds and various containment properties.
Keywords and phrases: convolution, harmonic starlike and convex functions, extremal problems.
Number of Downloads: 18 | Number of Views: 1422
P-ISSN: 0972-0871
E-ISSN: 2584-1246
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