• Title/Summary/Keyword: Meromorphic functions

Search Result 191, Processing Time 0.025 seconds

ON THE MULTIPLE VALUES AND UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING SMALL FUNCTIONS AS TARGETS

  • Cao, Ting-Bin;Yi, Hong-Xun
    • Bulletin of the Korean Mathematical Society
    • /
    • v.44 no.4
    • /
    • pp.631-640
    • /
    • 2007
  • The purpose of this article is to deal with the multiple values and uniqueness of meromorphic functions with small functions in the whole complex plane. We obtain a more general theorem which improves and extends strongly the results of R. Nevanlinna, Li-Qiao, Yao, Yi, and Thai-Tan.

Differential Subordinations and Superordinations of Certain Meromorphic Functions associated with an Integral Operator

  • DARWISH, HANAN ELSAYED;LASHIN, ABD AL-MONEM YOUSOF;SOILEH, SOLIMAN MOHAMMED
    • Kyungpook Mathematical Journal
    • /
    • v.55 no.3
    • /
    • pp.625-639
    • /
    • 2015
  • Differential subordinations and superordinations results are obtained for certain meromorphic functions in the punctured unit disk which are associated with an integral operator. These results are obtained by investigating appropriate classes of a dmissible functions. Sandwich-type results are also obtained.

Uniqueness of Meromorphic Functions and a Question of Gross

  • Yi, Hong-Xun;Lin, Wei-Chuan
    • Kyungpook Mathematical Journal
    • /
    • v.46 no.3
    • /
    • pp.437-444
    • /
    • 2006
  • In this paper, we deal with the uniqueness of meromorphic functions concerning one question of Gross (see [5, Question 6]), and obtain some results that are improvements of that of former authors. Moreover, the example shows that the result is sharp.

  • PDF

NORMALITY CONCERNING TWO FAMILIES OF MEROMORPHIC FUNCTIONS

  • Lal, Banarsi;Singh, Virender
    • Communications of the Korean Mathematical Society
    • /
    • v.35 no.4
    • /
    • pp.1133-1142
    • /
    • 2020
  • In this paper, we study normality concerning two families of meromorphic functions. In particular, we investigate the sharing conditions under which normality of one family implies the normality of other. Results obtained in this paper extend some earlier works of several authors.

Meromorphic Functions Sharing a Nonzero Polynomial IM

  • Sahoo, Pulak
    • Kyungpook Mathematical Journal
    • /
    • v.53 no.2
    • /
    • pp.191-205
    • /
    • 2013
  • We study the uniqueness of meromorphic functions concerning nonlinear differential polynomials sharing a nonzero polynomial IM. Though the main concern of the paper is to improve a recent result of the present author [12], as a consequence of the main result we also generalize two recent results of X. M. Li and L. Gao [11].