[PDF] Top 20 On Certain Subclasses of Meromorphic Close to Convex Functions

... analytic functions in U, then we say that f is subordinate to g, written f ≺ g, if there is a function w analytic in U, with w0 0, |wz| < 1, for all z ∈ U such that fz gwz for z ∈ ... See full document

... a convex function f, it follows from Alexander’s Theorem that zf z fz ∗ z/1 − z 2 is a starlike ...of convex and starlike functions can be unified by considering functions f satisfying f ∗ g ... See full document

... two functions f and g analytic in U, we say that the function f (z) is subordinate to g(z) in U, and we write f (z) ≺ g(z) (z ∈ U) if there exists a Schwarz function w(z), analytic in U with w() =  and | w(z) | ... See full document

... uniformly convex (uniformly starlike) in U if f (z) is in CV (ST) and has the property that for every circular arc γ contained in U , with center ξ also in U , the arc f (γ) is convex (starlike) with ... See full document

... 𝑧(𝐽 𝜆,𝜇 𝑐+1,𝑑 𝑓 ) ′ (𝑧) = (𝑐 + 1)𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 (𝑧) − 𝑐𝐽 𝜆,𝜇 𝑐+1,𝑑 𝑓 (𝑧) , (1.15) 𝑧(𝐽 𝜆+1,𝜇 𝑐,𝑑 𝑓 ) ′ (𝑧) = (𝜇 + 1)𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 (𝑧) − 𝜇𝐽 𝜆+1,𝜇 𝑐,𝑑 𝑓 (𝑧) , (1.16) 𝑧(𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 ) ′ (𝑧) = 𝑑𝐽 𝜆,𝜇 𝑐,𝑑+1 𝑓 (𝑧) − (𝑑−1) 𝐽 𝜆,𝜇 𝑐,𝑑 𝑓 ... See full document

... of meromorphic starlike, meromorphic convex, meromorphic close-to-convex, meromorphic γ-convex Mocanu sense, and meromorphic quasi-convex ... See full document

... introduce certain subclasses of analytic functions involving the integral operators that generalize the class of uniformly starlike, convex, and close-to-convex functions ... See full document

... We introduce and study some new subclasses of p-valent starlike, convex, close-to-convex, and quasi-convex functions defined by certain Srivastava-Attiya operator.. Inclusion relations a[r] ... See full document

... some subclasses of analytic functions involving certain linear operator,” Integral Transforms and Special ...analytic functions,” International Journal of Mathematics and Mathematical ... See full document

... The second coefficient of univalent function plays an important role in the theory of univalent function; for example, this leads to the distortion and growth estimates for univalent functions as well as the ... See full document

... and Mehrok, T.J.S.: On Univalence of certain analytic functions associated wih starlike, convex and close-to-convex functions, Indian J.. BERNARDI, S.D.: Convex and starlike univalent fu[r] ... See full document

... Aouf, MK: Certain subclasses of meromorphically multivalent functions associated with generalized hypergeometric function.. Aouf, MK: Certain subclasses of meromorphically p-valent funct[r] ... See full document

... close-to-convex functions with respect to symmetrical points. These functions map the open unit disc onto certain conic regions in the right half ...the functions in these ... See full document

... M., Subclasses of starlike functions subordinate to convex functions submitted..[r] ... See full document

... analytic functions in the unit disc ...two functions F and G which are analytic in U, the function F is said to be subordinate to G if there exist a function w analytic in U with w(0)=0 and ( z U), |w(z)| ... See full document

... Bazilevic functions, subclasses tive has positive real part, close-to-convex functions, estimates.. 1980 AMS SUBJECT CLASSIFICATION CODE.[r] ... See full document

... new subclasses of p-valent starlike, p-valent convex, p-valent close-to-convex, and p-valent quasi-convex meromorphic functions and investigate some inclusion properties ... See full document

... bi-univalent functions in U given by the Taylor–Maclaurin series expansion as in ...of functions in the class σ , see ...various subclasses of the bi- univalent function class σ in recent years; it ... See full document

... for certain class of meromorphic multivalent function involving a linear operator in the punctured unit disk U ∗ = { z : z ∈ C and 0 < | z | < 1}, and derive various useful properties and ... See full document

...    (1) analytic in the open unit disc U and normalized by f   0  0 and f    0  1 . Also, we denote S to be the class of functions in A containing univalent function of the form (1). According to Duren ... See full document