Your English writing platform
Discover LudwigExact(17)
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.
Chen [9] considered zeros of difference product H n ( z ) = f n ( z ) Δ c f ( z ) and gave some conditions that guarantee H n ( z ) has finitely many zeros or infinitely many zeros.
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.
Recently, a number of papers have focused on difference equations, difference product and q-difference in the complex plane ℂ, and considerable attention has been paid to the growth of solutions of difference equations, value distribution and uniqueness of differences analogues of Nevanlinna's theory [4, 6 25].
And a difference monomial of type ∏ i = 1 m f n i ( z + c i ) is called a difference product of f ( z ), where c 1, …, c m ∈ C and n 1, …, n m ∈ N. A difference polynomial of f ( z ) is a finite sum of difference products of f ( z ), with all coefficients being small functions of f ( z ).
Similar(43)
As well as basic, low-cost lines, it also stocks premium range Taste the Difference products and organic food.
In 2007, Laine and Yang [10] investigated the value distribution of difference products of entire functions, and obtained the following result.
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.
This difference in product distribution was attributed to different mechanism of hydrocarbon formation.
It's not enough to make a difference on product quality or delivery readiness or production scale.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com