On $\lambda$-pseudo $q$-bi-starlike functions

Authors: PRAKASH KAMBLE, MALLIKARJUN SHRIGAN, ŞAHSENE ALTINKAYA

Abstract: Making use of the $\lambda$-pseudo-$q$-differential operator, we aim to investigate a new, interesting class of bi-starlike functions in the conic domain. Furthermore, we obtain certain sharp bounds of the Fekete--Szeg\"{o} functional for functions belonging to this class.

Keywords: Fekete-Szeg\"{o} inequality, bi-starlike functions, $q$-differential operator

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