Brannan’s conjecture and trigonometric sums

Roger W. Barnard, Udaya C. Jayatilake, Alexander Yu Solynin

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish
Pages (from-to)2117-2128
Number of pages12
JournalProceedings of the American Mathematical Society
Issue number5
StatePublished - 2015


  • Brannan’s conjecture
  • Trigonometric sums

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