Derivatives of Meromorphic Functions with Multiple Zeros and Small Functions

Pai Yang and Peiyan Niu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Let f(z) be a meromorphic function in ℂ, and let α(z) = R(z)h(z)≢0, where h(z) is a nonconstant elliptic function and R(z) is a rational function. Suppose that all zeros of f(z) are multiple except finitely many and T(r, α) = o{T(r, f)} as r → ∞. Then f′(z) = α(z) has infinitely many solutions.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/310251

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:310251

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().