On a conjecture for trigonometric sums and starlike functions, II
Journal of Approximation Theory
On the positivity of certain trigonometric sums and their applications
Computers & Mathematics with Applications
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We pose and discuss the following conjecture: let s"n^@m(z)@?@?"k"="0^n(@m)"kk!z^k, and for @r@?(0,1] let @m^*(@r) be the unique solution @m@?(0,1] of @!"0^(^@r^+^1^)^@psint-@r@pt^@m^-^1dt=0.Then for 0