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Entire functions that share a function with their first and second derivatives

100%

Lü F., Xu J.

Annales Polonici Mathematici

2012

tom 104

nr 1

81-96

Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).

Uniqueness theorems and normal families of entire functions and their derivatives

81%

Lü F., Xu J., Yi H.

Annales Polonici Mathematici

2009

tom 95

nr 1

67-75

We use the theory of normal families to obtain some uniqueness theorems for entire functions, which improve and generalize the related results of Rubel and Yang, and Li and Yi. Some examples are provided to show the sharpness of our results.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Lü F.

2 Xu J.

1 Yi H.

1 2012

1 2009

Wyniki wyszukiwania

Entire functions that share a function with their first and second derivatives

Uniqueness theorems and normal families of entire functions and their derivatives