Logarithmic Coefficients for Classes Related to Convex Functions

In this work, we estimate the bounds for the logarithmic coefficients $$\gamma _n$$ γ n of some well-known classes like $${\mathcal {F}}(c)$$ F ( c ) for $$c\in (0,0.656]\cup \{2\}$$ c ∈ ( 0 , 0.656 ] ∪ { 2 } . The best bound obtained for the logarithmic coefficient $$|\gamma _5|$$ | γ 5 | is sharp for $$c=2$$ c = 2 . In a special case, it is important to note that we obtain the bounds for the logarithmic coefficients $$\gamma _n$$ γ n of the convex functions of order $$\alpha $$ α for some $$\alpha $$ α . It is worthwhile mentioning that the given bounds would generalize some of the previous papers.