Displaying 861 – 880 of 1295

Showing per page

Some further results on meromorphic functions that share two sets

Qi Han, Hong-Xun Yi (2008)

Annales Polonici Mathematici

This paper concerns the uniqueness of meromorphic functions and shows that there exists a set S ⊂ ℂ of eight elements such that any two nonconstant meromorphic functions f and g in the open complex plane ℂ satisfying E 3 ) ( S , f ) = E 3 ) ( S , g ) and Ē(∞,f) = Ē(∞,g) are identical, which improves a result of H. X. Yi. Also, some other related results are obtained, which generalize the results of G. Frank, E. Mues, M. Reinders, C. C. Yang, H. X. Yi, P. Li, M. L. Fang and H. Guo, and others.

Some normality criteria.

Lahiri, Indrajit, Dewan, Shyamali (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some properties of solutions of complex q-shift difference equations

Hong-Yan Xu, Jin Tu, Xiu-Min Zheng (2013)

Annales Polonici Mathematici

Combining difference and q-difference equations, we study the properties of meromorphic solutions of q-shift difference equations from the point of view of value distribution. We obtain lower bounds for the Nevanlinna lower order for meromorphic solutions of such equations. Our results improve and extend previous theorems by Zheng and Chen and by Liu and Qi. Some examples are also given to illustrate our results.

Some results on the growth properties of Wronskians

Sanjib Kumar Datta, Arindam Jha (2009)

Archivum Mathematicum

The aim of this paper paper is to study the comparative growth properties of the composition of entire and meromorphic functions and wronskians generated by them improving some earlier results.

Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations

Zinelâabidine LATREUCH, Benharrat BELAÏDI (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation f ( k ) + A k - 1 ( z ) f ( k - 1 ) + + A 1 ( z ) f ' + A 0 ( z ) f = 0 , where A i ( z ) ( i = 0 , 1 ...

Currently displaying 861 – 880 of 1295