Convex and Starlike functions.
Certain subclasses of uniformly convex functions and corresponding class of starlike functions
... 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 ...
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A Subclass of Meromorphic Close to Convex Functions of Janowski's Type
... 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 ...
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Subclasses of α spirallike functions associated with Ruscheweyh derivatives
... , Uniformly convex functions and a corresponding class of starlike functions, Proceedings [7] of the American Mathematical Society 118 1993, no.. , On uniform starlikeness and related pr[r] ...
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Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions
... 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 coefficient ...
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Subclasses of close to convex functions
... M., Subclasses of starlike functions subordinate to convex functions submitted..[r] ...
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Convolution Properties of Classes of Analytic and Meromorphic Functions
... where g is a fixed function and h is a suitably normalized function with positive real part. In particular, let S ∗ h : S ∗ z/1 − z, h and Kh : S ∗ z/1 − z 2 , h. For hz 1 1 − 2αz/1 − z, 0 ≤ α < 1, S ∗ h and Kh are, ...
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Inclusion relations for certain families of integral operators associated with conic regions
... of starlike functions with respect to symmetrical points z and –z belonging to the open unit disc ...of convex and odd starlike functions with respect to the ...and starlike with ...
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On A Subclass Of N-Uniformly Multivalent Functions Used By Incomplete Beta Function
... Key words and phrases : Analytic functions , Multivalent functions , Coefficient estimate, Distortion theorem, Starlike functions , Convex functions, Close-to-close functions, [r] ...
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Some Results in Generalization of Janowski Functions Associated with (j,k)-Symmetric Points
... of functions with positive real part P plays a crucial role in geometric function ...of starlike S * , class of convex functions C , class of starlike functions with respect to ...
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Some Applications of Srivastava Attiya Operator to p Valent Starlike Functions
... 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] ...
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New Result for Strongly Starlike Functions
... Keywords Strongly Starlike Functions, Strongly Convex Functions, Salagean Differential Operator.. Introduction Let A be the class of functions of the form ∞..[r] ...
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Generalization of certain subclasses of analytic functions
... S a is the class of starlike functions of order We note that AI0,1, a and that Aln,l, is the class of convex functions of order ,a K AI1,1 is the class of functions defined by Salagean [r] ...
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Remarks on some starlike functions
... 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 ...
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Birth of Theory of Harmonic Functions
... of starlike functions. The functions in UST are called uniformly starlike and are based on a purely geometric ...uniformly starlike in , if f(z) is in S * and has the property that ...
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Fractional differintegral transformations of univalent Meijer's G functions
... The content of this article is divided into three main sections: In the first section, the definition of the Meijer’s G-function, two important properties of Meijer’s G-functions including a generalized (multiple, ...
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A class of analytic functions based on an extension of generalized Salagean operator
... of functions starlike of order α (0 ≤ α < 1) denoted by S ∗ (α ) and convex of order α(0 ≤ α < 1), denoted by ...investigated functions in the classes T ∗ (α ) = T ∩ S ∗ (α ) and C(α ) = ...
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On uniformly univalent functions with respect to symmetrical points
... of starlike functions with respect to symmetrical ...of convex and odd starlike functions with respect to the ...and starlike with respect to symmetrical points in E is ...
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Bounds for the second Hankel determinant of certain univalent functions
... analytic functions with its Laurent series around the origin having integral coefficients, is rational ...meromorphic functions, see [], and various prop- erties of these determinants can be found in [, ...
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19. Inclusion Properties for Certain k-Uniformly Subclasses of Analytic Functions Associated with Certain Integral Operator
... Abstract. In this paper, we introduce several new k-uniformly classes of an- alytic functions defined by using the integral operator and investigate various inclusion relationships for these classes. Some ...
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The Fekete Szegö Problem for Valently Janowski Starlike and Convex Functions
... For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap2 − μa2p1 | relat[r] ...
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