Results 91 to 100 of about 7,296 (239)

On α-convex functions of order β

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α-convex functions. Many mathematicians have studied and shown the properties of this class.
Seiichi Fukui
doaj   +1 more source

Criteria for Strongly Starlike Functions [PDF]

open access: yesISRN Geometry, 2011
Let f(z) be analytic in the unit disk U={z:|z|<1} with f(0)=f'(0)-1=0 and (f(z)/z)f'(z)≠0. By using the method of differential subordinations, we determine the largest number α(β,λ,μ,m) such that, for some β,λ,μ, and m, the differential subordination λzf'(z)/f(z)1-μ1+(zf''(z)/f'(z))-zf'(z)/f(z)+zf'(z)/f(z)m≺1+z/1-zα(β,λ,μ,m)(z∈U) implies zf'(z)/f(z)≺
openaire   +2 more sources

On the analytical part of harmonic univalent functions defined by generalized SA˘LA˘GEAN Drivatives [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2009
In the present paper and by making use the generalized S.al.agean derivatives we have introduce and study a class of analytic function and prove the coefficient conditions, distortion bound, fractional integral operator, convex combination, and radius of
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Certain subclasses of starlike functions, II

open access: yesJournal of Mathematical Analysis and Applications, 1991
See the preview in Zbl 0724.30007.
Srivastava, H.M., Owa, Shigeyoshi
openaire   +1 more source

a*-families of analytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
doaj   +1 more source

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