On entire functions from the Laguerre-Polya I class with non-monotonic second quotients of Taylor coefficients by T. H. Nguyen, A. Vishnyakova

“…For an entire function $f(z) = \sum_{k=0}^\infty a_k z^k, a_k>0,$ we define its second quotients of Taylor coefficients as $q_k (f):= \frac{a_{k-1}^2}{a_{k-2}a_k}, k \geq 2.$ In the present paper, we study entire functions of order zero with non-monotonic second quotients of Taylor coefficients. …”
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On the Ritt order and type of a certain class of functions defined by BE-Dirichletian elements by Marcel Berland

“…We introduce the notions of Ritt order and type to functions defined by the series ∑n=1∞fn(σ+iτ0)exp(−sλn),      s=σ+iτ,(σ,τ)∈R×R                                            (*) indexed by τ0 on R, where (λn)1∞ is a D-sequence and (fn)1∞ is a sequence of entire functions of bounded index with at most a finite number of zeros. …”
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