On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers
DOI:
https://doi.org/10.3842/umzh.v78i7-8.9861Keywords:
$\mathsf{q}$-starlike functions, $\mathsf{q}$-Bernoulli numbers, coefficient bounds, Hankel determinants, logarithmic coefficientsAbstract
UDC 517.54
We define a class of $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers and study the coefficient bounds, Hankel determinants, and logarithmic coefficient bounds for this class of functions. The sharpness of the obtained estimates is also discussed. Our results generalize results already known from the literature.
References
The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 7-8, 2026.
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Published
24.07.2026
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Research articles