Brannan’s conjecture and trigonometric sums-Reference-Cited by-同舟云学术

Brannan’s conjecture and trigonometric sums

Published:2015-01-22 Issue:5 Volume:143 Page:2117-2128
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barnard Roger,Jayatilake Udaya,Solynin Alexander

Abstract

We prove some versions of Brannan’s Conjecture on Taylor coefficients of the ratio of two binomials of the form ( 1 + z x ) α / ( 1 − x ) β (1+zx)^\alpha /(1-x)^\beta and discuss some related inequalities for trigonometric sums.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2015-143-05/S0002-9939-2015-12398-2/S0002-9939-2015-12398-2.pdf

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5. Udaya C. Jayatilake, Brannan’s conjecture for initial coefficients. Complex Var. Elliptic Equ. 58 (2013), no. 5, 685–694.

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