New criteria for multivalent meromorphic starlike functions of order alpha
نویسندگان
چکیده
منابع مشابه
Some Criteria for Strongly Starlike Multivalent Functions
By using the method of differential subordination, we obtain some sufficient conditions for strongly p-valent starlikeness.
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The main purpose of the present paper is to derive a new criterion for mul-tivalent starlike functions by applying Jack's lemma.
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In the present investigation, we define a new subclass of meromorphic bi-univalent functions class Σ′ of complex order γ ∈ C\{0}, and obtain the estimates for the coefficients |b0| and |b1|. Further we pointed out several new or known consequences of our result.
متن کاملOn Some Classes of Multivalent Starlike Functions
Classes of multivalent functions analogous to certain classes of univalent starlike functions are defined and studied. Estimates on coefficients and distortion are made, using a variety of techniques. 1. Let St denote the class of all functions/(z) = z + . . . analytic, univalent and starlike in the unit disc U. Such functions satisfy the condition Re(z/'(z)//(z)) >0,zGU. The problem of definin...
متن کاملA Note on Multivalent Starlike Functions
In a recent paper [2], G. R. Blakley raised a question about the decomposition of a ^-valent starlike function into the product of two ^-valent starlike functions. It is the purpose of this note to prove the conjecture of Blakley. Definition 1. The function/(z), regular in |z| <1, is said to be in the class S(p, m), where p and m are positive integers with p^m, if and only if (1) there exists a...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1993
ISSN: 0386-2194
DOI: 10.3792/pjaa.69.66