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# Jensen polynomial

In mathematics the Jensen polynomial g(t) associated with f(x) is then given by

\( g_n(t)= \sum_(k=0)^n(n; k)\gamma_kt^k, (3) \) . for k=1, 2, ....

where \( \binom {a} {b} \) is a binomial coefficient.

f(x) is a real entire function of the form

\(f(x)=sum_(k=0)^inftygamma_k(x^k)/(k!), \) (1)

where the \( \gamma_ks \) are positive and satisfy TurĂ¡n's inequalities

\( gamma_k^2-gamma_(k-1)gamma_(k+1)>=0 \) (2)

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