Coefficient estimates for special subclasses of k-fold symmetric bi-univalent functions
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2020
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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In the present paper, we consider two new subclasses Nk (μ,) and Nk (μ,) of k consisting of analytic and k-fold symmetric bi-univalent functions defined in the open unit disc U = {z : z 2 C and |z| < 1}. For functions belonging to the two classes introduced here, we derive their normalized forms. Furthermore, we find estimates of the initial coefficients |ak+1| and |a2k+1| for these functions. Several related classes are also considered and connections to previously known results are made.
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Mathematics for Applications. 2020 vol. 9, č. 2, s. 83-90. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/9_2/ma_9_2_atsahan_et_al_final.pdf
http://ma.fme.vutbr.cz/archiv/9_2/ma_9_2_atsahan_et_al_final.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky