Parity of the coefficients of certain eta-quotients
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DOI: 10.1016/j.jnt.2021.06.034
Abstract: We investigate the parity of the coefficients of certain eta-quotients, extensively examining the case of $m$-regular partitions. Our theorems concern the density of their odd values, in particular establishing lacunarity modulo 2 for specified coefficients;… read more here.
Keywords: certain eta; parity coefficients; eta quotients; coefficients certain ... See more keywords
Estimates for initial coefficients of certain bi-univalent functions
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DOI: 10.2298/fil2106993m
Abstract: Estimates are obtained for the initial coefficients of a normalized analytic function f in the unit disk D such that f and the analytic extension of f-1 to D belong to certain subclasses of univalent… read more here.
Keywords: certain univalent; coefficients certain; initial coefficients; univalent functions ... See more keywords
Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial
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DOI: 10.3906/mat-1808-82
Abstract: In this work, considering a new subclass of bi-univalent functions which are m-fold symmetric and analytic functions in the open unit disk, we determine estimates for the general Taylor-Maclaurin coefficient of the functions in this… read more here.
Keywords: univalent functions; certain classes; coefficients certain; inequalities coefficients ... See more keywords