In this paper, we study the unicity of entire functions and their derivatives and obtain the following result: let f f be a non-constant entire function, let a 1 {a}_{1} , a 2 {a}_{2} , b 1 {b}_{1} , and b 2 {b}_{2} be four small functions of f f such that a 1 ≢ b 1 {a}_{1}\not\equiv {b}_{1} , a 2 ≢ b 2 {a}_{2}\not\equiv {b}_{2} , and none of them is identically equal to ∞ \infty . If f f and f ( k ) {f}^{\left(k)} share ( a 1 , a 2 ) \left({a}_{1},{a}_{2}) CM and share ( b 1 , b 2 ) \left({b}_{1},{b}_{2}) IM, then ( a 2 − b 2 ) f − ( a 1 − b 1 ) f ( k ) ≡ a 2 b 1 − a 1 b 2 \left({a}_{2}-{b}_{2})f-\left({a}_{1}-{b}_{1}){f}^{\left(k)}\equiv {a}_{2}{b}_{1}-{a}_{1}{b}_{2} . This extends the result due to Li and Yang [ Value sharing of an entire function and its derivatives , J. Math. Soc. Japan. 51 (1999), no. 7, 781–799].

中文翻译：

---

共享两对小型函数的整个函数

在本文中，我们研究了整个函数及其导数的唯一性，并得到以下结果：令ff为非恒定的整体函数，令1 {a} _ {1}，2 {a} _ {2} ，b 1 {b} _ {1}和b 2 {b} _ {2}是ff的四个小函数，使得a 1≢b 1 {a} _ {1} \ not \ equiv {b} _ { 1}，a 2 2 b 2 {a} _ {2} \ not \ equiv {b} _ {2}，它们都不等于∞\ infty。如果ff和f（k）{f} ^ {\ left（k）}共享（a 1，a 2）\ left（{a} _ {1}，{a} _ {2}）CM并共享（b 1，b 2）\ left（{b} _ {1}，{b} _ {2}）IM，然后（a 2-b 2）f-（a 1-b 1）f（k）≡a 2 b 1 − a 1 b 2 \ left（{a} _ {2}-{b} _ {2}）f- \ left（{a} _ {1}-{b} _ {1}）{f} ^ {\ left（k）} \ equiv {a} _ {2} {b} _ {1}-{a} _ {1} {b} _ {2}。由于Li和Yang [整个函数及其派生的价值共享，J。Math。Soc。日本。51（1999），no。7，781–799]。