We prove some versions of Brannan’s Conjecture on Taylor coefficients
of the ratio of two binomials of the form (1+zx)α/(1−x)β and discuss
some related inequalities for trigonometric sums.
Citation:
Barnard, R. W., Jayatilake, U. C., & Solynin, A. Yu. (2015). Brannan’s Conjecture and Trigonometric Sums. Proceedings of the American Mathematical Society, 143(5), 2117–2128.