Close-to-convexity properties of Gaussian hypergeometric functions
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 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...
متن کاملConvexity of the Zero-balanced Gaussian Hypergeometric Functions with Respect to Hölder Means
In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1998
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00221-5