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math.CA2013
The unimodality of a polynomial coming from a rational integral. Back to the original proof
Tewodros Amdeberhan, Atul Dixit, Xiao Guan +2
A sequence of coefficients that appeared in the evaluation of a rational integral has been shown to be unimodal. An alternative proof is presented.
math.CA2011
Convexity of Quotients of Theta Functions
Atul Dixit, Arindam Roy, Alexandru Zaharescu
For fixed and such that , the monotonicity of the quotients of Jacobi theta functions, namely, , , on h…