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1

Zeros of solutions of certain higher order linear differential equations

100%

Xu H.-Y., Yi C.-F.

Annales Polonici Mathematici

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2010

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tom 97

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nr 2

123-136

EN

We investigate the exponent of convergence of the zero-sequence of solutions of the differential equation $f^{(k)} + a_{k-1}(z)f^{(k-1)} + ⋯ + a₁(z)f' +D(z)f=0$, (1) where $D(z) = Q₁(z)e^{P₁(z)} + Q₂(z)e^{P₂(z)} + Q₃(z)e^{P₃(z)}$, P₁(z),P₂(z),P₃(z) are polynomials of degree n ≥ 1, Q₁(z),Q₂(z),Q₃(z),$a_j(z)$ (j=1,..., k-1) are entire functions of order less than n, and k ≥ 2.

2

An improvement of Hayman's inequality on an angular domain

81%

Yi C.-F., Wang Y., Xu H.-Y.

Annales Polonici Mathematici

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2010

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tom 99

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nr 2

181-192

EN

We investigate the properties of meromorphic functions on an angular domain, and obtain a form of Yang's inequality on an angular domain by reducing the coefficients of Hayman's inequality. Moreover, we also study Hayman's inequality in different forms, and obtain accurate estimates of sums of deficiencies.

3

Uniqueness of meromorphic functions and differential polynomials sharing one value with finite weight

81%

Xu H.-Y., Yi C.-F., Cao T.-B.

Annales Polonici Mathematici

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2009

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tom 95

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nr 1

51-66

EN

This paper deals with the uniqueness problem for meromorphic functions sharing one value with finite weight. Our results generalize those of Fang, Hong, Bhoosnurmath and Dyavanal.

Ograniczanie wyników

3 Annales Polonici Mathematici

3 Xu H.-Y.

3 Yi C.-F.

1 Cao T.-B.

1 Wang Y.

2 2010

1 2009

Zeros of solutions of certain higher order linear differential equations

An improvement of Hayman's inequality on an angular domain

Uniqueness of meromorphic functions and differential polynomials sharing one value with finite weight