Results 31 to 40 of about 3,137 (178)
Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
, 2015 In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan +2 more
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The radius of starlikeness for convex functions of complex order
International Journal of Mathematics and Mathematical Sciences, 2004 We will give the relation between the class of Janowski starlike functions of complex order and the class of Janowski convex functions of complex order.
Yaşar Polatoglu +2 more
doaj +1 more source
Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
, 2011 A normalized analytic function f defined on the open unit disk in the complex plane is in the class SL if zf'(z)/f(z) lies in the region bounded by the right-half of the lemniscate of Bernoulli given by |w^2 - 1| < 1. In the present investigation, the SL-
Ali, Rosihan M. +2 more
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Close-to-convexity and Starlikeness of Analytic Functions
Tamkang Journal of Mathematics, 2015 For functions $f(z)=z^p+a_{n+1}z^{p+1}+\cdots$ defined on the open unit disk, the condition $RE (f'(z)/z^{p-1})>0$ is sufficient for close-to-convexity of $f$. By making use of this result, several sufficient conditions for close-to-convexity are investigated and relevant connections with previously known results are indicated.
Lee, See Keong +2 more
openaire +3 more sources
Certain integral operator and strongly starlike functions
International Journal of Mathematics and Mathematical Sciences, 2002 Let S∗(ρ,γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ,γ) be the class of strongly convex functions of order ρ and type γ. By making use of an integral operator defined by Jung et al.
Jin-Lin Liu
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Convolution Properties of Classes of Analytic and Meromorphic Functions
Journal of Inequalities and Applications, 2010 General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic ...
Rosihan M. Ali +3 more
doaj +2 more sources
Estimates for Coefficients of Certain Analytic Functions
, 2017 For $ -1 \leq B \leq 1$ and $A>B$, let $\mathcal{S}^*[A,B]$ denote the class of generalized Janowski starlike functions consisting of all normalized analytic functions $f$ defined by the subordination $z f'(z)/f(z) \prec (1+ A z)/(1+ B z)$ $(|z|1)$ and ...
Ravichandran, V., Verma, Shelly
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Study of (p, q)‐Symmetric Starlike Functions of Order η
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
wiley +1 more source
On classes of ζ-uniformly q-analogue of analytic functions with some subordination results
Applied Mathematics in Science and EngineeringThis article presents new classes of ζ-uniformly q-starlike and q-convex analytic functions of order υ using the principle of q-calculus. The renowned classes of starlike and convex functions are utilized to establish these classes.
Sarem H. Hadi +4 more
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a*-families of analytic functions
International 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
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