On a New Class ofp-Valent Meromorphic Functions Defined in Conic Domains
نویسندگان
چکیده
منابع مشابه
On a New Class of p-Valent Meromorphic Functions Defined in Conic Domains
We define a new class of multivalent meromorphic functions using the generalised hypergeometric function. We derived this class related to conic domain. It is also shown that this new class of functions, under certain conditions, becomes a class of starlike functions. Some results on inclusion and closure properties are also derived.
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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 Dn+p defined by using the convolutions, the subclass n+p(α) of ∑ p is considered. The object of the present paper is to prove that n+p(α) ⊂ n+p−1(α). Since 0(α) is the class of meromorphic p-valent starlike functions of order α, all functions in n+p−1(α) are m...
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ژورنال
عنوان ژورنال: The Scientific World Journal
سال: 2016
ISSN: 2356-6140,1537-744X
DOI: 10.1155/2016/6360250