从两个共享集看$$\boldsymbol{L}$-函数和一般同态函数的唯一性

Pub Date : 2024-04-09 DOI:10.3103/s1068362324010060

R. Saha, S. Mallick

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引用次数: 0

摘要

摘要在本文中，我们用两个共享集处理了具有 $\mathcal{L}$函数的一般同调函数的唯一性问题。在我们的主定理中，我们处理的是一般的非定常函数，而不是具有有限多个极点的非定常函数。作为我们主定理的一个推论，我们证明了我们的结果不仅填补了 [3] 和 [1] 关于 $m=n-1$ 的一些定理的空白，而且还减少了主范围集的 cardinality，因此我们的结果大大改进了这个方向上的所有结果。

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Uniqueness of $$\boldsymbol{L}$$ -Functions and General Meromorphic Functions in Light of Two Shared Sets

Abstract

In this paper, we have dealt with the uniqueness problem of a general meromorphic function with $\mathcal{L}$ function in terms of two shared sets. In our main theorem, we deal with general meromorphic functions instead of meromorphic functions having finitely many poles. As a corollary of our main theorem, we have shown that our result not only fills the gap of some theorems of [3] and [1] for $m=n-1$ but also reduces the cardinality of the main range set and hence our result significantly improves all the results in this direction.

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