[PDF] Top 20 On a subclass of n starlike functions

... 1 − z ≡ h(z), with h(0) = 1. (3.7) By hypothesis, we have Re[1/(1 − (w/z)) · h(z)] > 0, and thus from Theorem 2.4 we ob- tain p(z) ≺ h(z) or Re p(z) > 0. This means f ∈ s ∗ n (w). Remark 3.6. From Theorem ... See full document

... Silverman 7 gave necessary and sufficient conditions for zFa, b; c; z to be in T ∗ α and Cα, and also examined a linear operator acting on hypergeometric functions. For the other interesting developments for zFa, b; ... See full document

... Γ (2 − λ) = (n − λ)(n − λ − 1)(n − λ − 2) ··· (2 − λ) = (2 − λ) n − 1 . (2.32) We note that, by giving specific values to A and B, we obtain the distortion and coef- ficient inequalities for ... See full document

... of functions that are analytic in the unit disk D = {z ∈ C : |z| < } and normalized by f () = f () –  = ...of functions that are univalent in D, starlike with respect to the origin and convex ... See full document

... Key words and phrases : Analytic functions , Multivalent functions , Coefficient estimate, Distortion theorem, Starlike functions , Convex functions, Close-to-close functions, [r] ... See full document

... Abstract. The objective of the present paper is to study results that are defined using notions of generalized Janowski functions and ( j , k ) -symmetrical functions. In particular, we derive integral ... See full document

... Keywords Strongly Starlike Functions, Strongly Convex Functions, Salagean Differential Operator.. Introduction Let A be the class of functions of the form ∞..[r] ... See full document

... In [7], Sakaguchi introduced the class S* of analytic functions f, normalised s by 1.1 which are starlike with respect to symmetrical points.. We begin by defining the class.[r] ... See full document

... Correspondence should be addressed to Öznur Özkan, oznur@baskent.edu.tr Received 18 November 2008; Accepted 28 February 2009 Recommended by Alberto Cabada In this investigation, the au[r] ... See full document

... where α ∈ R , w ∈ C and |w| = 1. He determined the uniform estimate |a n (ϕ)| ≤ dn for the n-th Taylor coefficient of ϕ(z) with a sharp constant d = √ M ≈ 1.2557, where M ≈ 1.5770 is the maximum value of a ... See full document

... Abstract. An attempt has been made to introduce a new criterion to make it possible to change meromorphic analytic function into a meromorphic starlike function of particular order. This criterion is based on a ... See full document

... We briefly consider some consequences of the results derived in the paper. In this paper, we investigate a new class of analytic functions defined in the open unit disk, which are associated with q-calculus ... See full document

... Many subclass of K have been defined by the condi- tion (1) with a convex univalent function p, given arbi- trary, instead of the functions 1  z 1  z ... See full document

... univalent functions in which f(z) is normalized with f(0)=0 and f '(0)  1 is already widely ...important subclass of S denoted by S*, consists of functions that maps  onto a starshaped domain with ... See full document

... f = u + iv is a complex harmonic function in a domain D if both u and v are real continuous harmonic functions in D. In any simply connected domain D ⊂ C , f is written in the form of f = h + g, where both h and g ... See full document

... We introduce a new class of complex valued harmonic functions associated with Wright hypergeometric functions which are orientation preserving and univalent in the open unit disc. Further we define, Wright ... See full document

... The subclass of uniformly starlike functions UST consists of normalized analytic function f in D such that for each in D and any arc "r in D of a circle with center at is mapped by f o[r] ... See full document

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

... Since to a certain extent the work in the meromorphic univalent case has paralleled that of the analytic univalent case, one is tempted to search results analogous to those of Silverman [16] for meromorphic univalent ... See full document

... hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coe ffi cients and obtain ... See full document