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In 2007, Laine and Yang [10] investigated the value distribution of difference products of entire functions, and obtained the following result.
In 2012, Liu et al. [11] studied the zeros distribution of difference-differential polynomials, which are the derivatives of difference products of entire functions, and obtained the result as follows.
As an analog result in difference, Laine and Yang [16] investigated the value distribution of difference products of entire functions, and obtained the following: Theorem E [[16], Theorem 2].
Recently, a number of papers concerning the complex difference products and the differences analogues of Nevanlinna's theory have been published (see [4 12] for example), and many excellent results have been obtained.
a differential-difference polynomial, in f is a finite sum of difference products of f and its shifts, resp. of products of f, derivatives of f and of their shifts, with all the coefficients of these monomials being small functions of f.
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In recent years, difference equations, difference product and q-difference in the complex plane ℂ have been an active topic of study.
As for a difference product, we mean a difference monomial of type (prod^{k}_{j=1}f z+c_{j})^{n_{j}}), where (c_{1},ldots, c_{k}) are complex constants, and (n_{1},ldots, n_{k}) are natural numbers.
As for a difference product, we mean a difference monomial of type ∏ j = 1 k f ( z + c j ) n j, where c 1, …, c k are complex constants and n 1, …, n k are natural numbers.
The final Difference Product 3 (DP3) of both MspI and the MseI RDA libraries each contained four discrete bands that were isolated by gel electrophoresis, gel-eluted, cloned and sequenced (Genbank acc. n. HR714291 HR714300).
An additional RDA was performed starting with the first difference product of the first RDA.
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