1,721,446 research outputs found
A GENERALIZATION OF REGULAR p-VALENT FUNCTIONS
No full textIn this thesis we study p-valent annular starlike functions, p-valent convex functions and extend them to p-valent weakly star- like functions, p-valent weakly convex functions, respectively.
Moreover, we investigate several conditions to be p-valent close-to-convex functions and show that they are equivalent.
;본 논문에서는 p-valent annular starlike functions과 p-valent convex functions 을 연구하였으며, 이 함수들을 각각 p-valent weakly starlike functions 과 p-valent weakly convex functions으로 확장하였다.
또한 p-valent close-to-convex functions이 되기위한 몇가지 조건을 조사하였으며, 그 조건들이 같다는 것을 보이고 있다.CONTENTS = ⅲ
ABSTRACT = 1
Ⅰ. Introduction = 2
Ⅱ. p-valent Starlike Functions = 3
Ⅲ. p-valent Convex Functions = 8
Ⅳ. p-valent Close-to-convex Functions = 13
References = 21
논문초록 = 2
P-Valent Meromorphic Functions within Integral Operators
No full textAbstract In this article a generalization of p-valent meromorphic analytic functions defined in punctured disc U w = {z : 0 < |z − w| < 1} is presented. Addition operation of integral operators within other operators of symmetry with respect to points are studied, also results of integral operators of p-valent meromorphic functions are proved and discussed. Mathematics Subject Classification: 30C4
SOME CONVEXITY PROPERTIES FOR TWO NEW P-VALENT INTEGRAL OPERATORS
No full textIn this paper, we define two new general p-valent integral operators in the unit disc U, and obtain the convexity properties of these integral operators of p-valent functions on some classes of beta-uniformly p-valent starlike and beta-uniformly p-valent convex functions of complex order. As special cases, the convexity properties of the operators integral(z)(0) (f(t)/t)(mu) dt and integral(z)(0) (g' (t))(mu) dt are given
Generalizations of p-valent functions via the hadamard product
No full textThe classes of univalent prestarlike functions Rα, α≥−1, of Ruscheweyh [1] and a certain generalization of Rα were studied recently by Al-Amiri [2]. The author studies, among other things, the classes of p-valent functions R(α+p−1) where p is a positive integer and α is any integer with α+p>0. The author shows in particular that R(α+p)⊂R(α+p−1) and also obtains the radius of R(α+p) for the class R(α+p−1)
Certain Coefficient Bounds for p-Valent Functions
No full textIn the present paper, the authors obtain sharp bounds for certain subclasses of p-valent functions. The results are extended to functions defined by convolution
A remark on certain p-valent functions
Get PDFThe object of the present paper is to prove an interesting result for
certain analytic and p-valent functions in the unit disc U={z:|z|<1}
On certain classes of p-Valent functions
Get PDFLet Vkλ(α,b,p) (k≥2, b≠0 is any complex number, 0≤α<p and |λ|<π/2) denote the class of functions f(z)=zp+∑n=p+1∞anzn analytic in U={z:|z|<1} having (p−1) critical points in U and satisfyinglimr→1−sup∫02π|Re{eiλ[p+1b(1+zf″(z)f′(z)−p)]−αcosλ}p−α|dθ≤kπcosλ.In this paper we generalize both those functions f(z) which are p-valent convex of order α, 0≤α<p, with bounded boundary rotation and those p-valent functions f(z) for which zf′(z)/p is λ-spirallike of order α, 0≤α<p
Neighborhoods of p-valent functions
No full textIn this paper, we the new subclasses of p - valent functions of complex order denoted by Hp n,m(q, λ,b), Lp n,m(q, λ,b; μ), Hp,α n,m(q, λ, b) and Lp, α n,m(q, λ,b;μ) are introduced. Further for functions belonging to these classes, certain properties of neighborhoods are studied
Hadamard Product Of Meromorphic p-valent Functions with Negative Coefficients
Get PDFIn this research we introduce the new class P of meromorphic p-valent functionswith negative coe¢ cient. Sharp results concerning coe¢ cient inequalities, growth and distortion, radii of starlikeness and convexity and the extreme points for the class P are determined. Furthermore it is shown that the class Pis closed under convexlinear combinations.keywords: Analytic functions, Meromorphic functions, P-valent functions and Starlikeand convex function
Meromorphic p-valent Functions With Fixed Second Coefficients
Get PDFIn this paper we introduce the class L* of meromorphic p-valent functionswith fixed second coefficients estimates. Convex linear combinations, some distortion theoremsand radii of starlikeness and convexity for are presented in this paper for f(z) in theclass L*.keywords: Analytic functions, Meromorphic functions, p-valent functions, negative coefficients,growth and distortion theorem
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