Brannan’s conjecture and trigonometric sums
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- by Roger W. Barnard, Udaya C. Jayatilake and Alexander Yu. Solynin PDF
- Proc. Amer. Math. Soc. 143 (2015), 2117-2128 Request permission
Abstract:
We prove some versions of Brannan’s Conjecture on Taylor coefficients of the ratio of two binomials of the form $(1+zx)^\alpha /(1-x)^\beta$ and discuss some related inequalities for trigonometric sums.References
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Additional Information
- Roger W. Barnard
- Affiliation: Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas 79409
- MR Author ID: 31355
- Email: roger.w.barnard@ttu.edu
- Udaya C. Jayatilake
- Affiliation: Department of Mathematics and Statistics, Texas Tech University, Box 41042, Lubbock, Texas 79409
- Address at time of publication: Department of Mathematics, Faculty of Engineering, University of Moratuwa, Katubedda, Moratuwa, Sri Lanka
- Email: ucjaya@uom.lk
- Alexander Yu. Solynin
- Affiliation: Department of Mathematics and Statistics, Texas Tech University, Box 41042, Lubbock, Texas 79409
- MR Author ID: 206458
- Email: alex.solynin@ttu.edu
- Received by editor(s): July 19, 2013
- Received by editor(s) in revised form: November 3, 2013
- Published electronically: January 22, 2015
- Additional Notes: The research of the third author was partially supported by NSF grant DMS-1001882
- Communicated by: Jeremy T. Tyson
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2117-2128
- MSC (2010): Primary 30C10, 30C50
- DOI: https://doi.org/10.1090/S0002-9939-2015-12398-2
- MathSciNet review: 3314120