Close-to-convexity properties of basic hypergeometric functions using their Taylor coefficients
نویسندگان
چکیده
منابع مشابه
CERTAIN SUFFICIENT CONDITIONS FOR CLOSE-TO-CONVEXITY OF ANALYTIC FUNCTIONS
The object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk
متن کاملMapping Properties of Basic Hypergeometric Functions
It is known that the ratio of Gaussian hypergeometric functions can be represented by means of g -fractions. In this work, the ratio of q -hypergeometric functions are represented by means of g -fractions that lead to certain results on q -starlikeness of the q -hypergeometric functions defined on the open unit disk. Corresponding results for the q -convex case are also obtained.
متن کاملSTARLIKE AND CONVEXITY PROPERTIES FOR p-VALENT HYPERGEOMETRIC FUNCTIONS
Given the hypergeometric function F (a, b; c; z) = ∞ P n=0 (a)n(b)n (c)n(1)n zn, we place conditions on a, b and c to guarante that zpF (a, b; c; z) will be in various subclasses of p-valent starlike and p-valent convex functions. Operators related to the hypergeometric function are also examined.
متن کاملcertain sufficient conditions for close-to-convexity of analytic functions
the object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk
متن کاملClose-to-convexity, starlikeness, and convexity of certain analytic functions
‘The present investigation was supported, in part, by the Japanese Ministry of Education, Science and Culture tinder Grant-in-Aid for General Scientific Research (No. 046204) and, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant 0GP0007353. A preliminary report on this paper was presented at the spring meeting of the Mathematical Society of Japan held at W...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Applications
سال: 2012
ISSN: 1733-6775,2300-9926
DOI: 10.7862/rf.2012.5