On a class of meromorphic p -valent starlike functions involving certain linear operators

Jin-Lin Liu and Shigeyoshi Owa

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 32, 1-10

Abstract:

Let ∑ p be the class of functions f ( z ) which are analytic in the punctured disk 𝔼 * = { z ∈ ℂ : 0 < | z | < 1 } . Applying the linear operator D n + p defined by using the convolutions, the subclass 𝒯 n + p ( α ) of ∑ p is considered. The object of the present paper is to prove that 𝒯 n + p ( α ) ⊂ 𝒯 n + p − 1 ( α ) . Since 𝒯 0 ( α ) is the class of meromorphic p -valent starlike functions of order α , all functions in 𝒯 n + p − 1 ( α ) are meromorphic p -valent starlike in the open unit disk 𝔼 . Further properties preserving integrals and convolution conditions are also considered.

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/32/181532.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/32/181532.xml (text/xml)

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:hin:jijmms:181532

DOI: 10.1155/S016117120220335X

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().