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[PDF] Top 20 Certain subclasses of uniformly convex functions and corresponding class of starlike functions

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Certain subclasses of uniformly convex functions and corresponding class of starlike functions

Certain subclasses of uniformly convex functions and corresponding class of starlike functions

... is 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 ... See full document

9

Subclasses  of α spirallike functions associated with Ruscheweyh derivatives

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] ... See full document

12

Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions

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 ... See full document

12

Generalization of certain subclasses of analytic functions

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] ... See full document

8

Fixed Coefficients for A Subclass of Spirallike Functions

Fixed Coefficients for A Subclass of Spirallike Functions

... the subclasses of S that are respectively, starlike and ...by certain geometric conditions, Goodman [1,2] introduced an interesting subclass of starlike functions called ... See full document

8

19. Inclusion  Properties for Certain k-Uniformly Subclasses of Analytic Functions
Associated with Certain Integral Operator

19. Inclusion Properties for Certain k-Uniformly Subclasses of Analytic Functions Associated with Certain Integral Operator

... the subclasses of A consisting of all analytic functions which are, respectively, starlike of order γ, convex of order γ, close-to-convex of order γ, and type β and quasi-convex ... See full document

8

Coefficient bounds for certain subclasses of starlike functions

Coefficient bounds for certain subclasses of starlike functions

... univalent functions is denoted by S. Among the many subclasses of S the classes of starlike and convex functions are the most studied ...called starlike with respect to w 0 ∈ D ... See full document

13

Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions

Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions

... various subclasses of starlike and convex functions by introducing the classes S ∗ (ϕ) and K(ϕ) of functions f ∈ S satisfying zf ( z )/ f ( z ) ≺ ϕ( z ) and 1 + zf ( z )/ f ( z ) ≺ ϕ( z ... See full document

11

Bounds for the second Hankel determinant of certain univalent functions

Bounds for the second Hankel determinant of certain univalent functions

... these subclasses of Ma-Minda starlike and convex functions in Sec- tion ...univalent functions and the results for some of these special classes are indicated as ... See full document

17

On a Subclass of Multivalent -Uniformly Starlike and Convex Functions defined by a Linear Operator

On a Subclass of Multivalent -Uniformly Starlike and Convex Functions defined by a Linear Operator

... β-uniformly convex and β-uniformly starlike functions which are analytic and multivalent with negative coefficients defined by using fractional calculus ...the functions in the ... See full document

9

Inclusion relations for certain families of integral operators associated with conic regions

Inclusion relations for certain families of integral operators associated with conic regions

... the class of functions in A that are univalent in ...the subclasses of A consisting of all functions that are starlike, convex, close-to-convex, and quasiconvex, ... See full document

11

A class of analytic functions based on an extension of generalized Salagean operator

A class of analytic functions based on an extension of generalized Salagean operator

... well-known subclasses of S, the class consisting of functions starlike of order α (0 ≤ α < 1) denoted by S ∗ (α ) and convex of order α(0 ≤ α < 1), denoted by ...investigated ... See full document

13

5. Certain Classes of $k$-Uniformly Close-to-Convex Functions and Other
                         Related Functions Defined by Using the Dziok-Srivastava Operator

5. Certain Classes of $k$-Uniformly Close-to-Convex Functions and Other Related Functions Defined by Using the Dziok-Srivastava Operator

... new) subclasses of 𝒜. Several properties of some of the subclasses of the function classes 𝒰 𝒦(𝑘, 𝛽) and 𝒰 𝒮(𝑘, 𝛽) were studied recently in [9] (see also [6] and ... See full document

15

SOME SUFFICIENT CONDITIONS FOR POISSON DISTRIBUTION SERIES ASSOCIATED WITH CONIC REGIONS

SOME SUFFICIENT CONDITIONS FOR POISSON DISTRIBUTION SERIES ASSOCIATED WITH CONIC REGIONS

... various subclasses of analytic univalent functions by using hypergeometric functions (see [3], [10], [14] , [18]) and by work of ([11], [13], [15]) we establish some sufficient conditions for ... See full document

8

14. Coefficient estimates for certain new subclasses  of starlike functions of complex order

14. Coefficient estimates for certain new subclasses of starlike functions of complex order

... in certain new subclasses of starlike and convex functions of complex or- der γ, which are introduced by means of a generalized differential operator and non-homogeneous Cauchy-Euler ... See full document

6

Some basic properties of certain subclasses of meromorphically starlike functions

Some basic properties of certain subclasses of meromorphically starlike functions

... In this paper, we introduce and investigate certain subclasses of meromorphically starlike functions. Such results as coefficient inequalities, neighborhoods, partial sums, and inclusion ... See full document

13

On Certain Subclasses of Meromorphic Close to Convex Functions

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

12

New Result for Strongly Starlike Functions

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] ... See full document

5

Janowski type close to convex functions associated with conic regions

Janowski type close to convex functions associated with conic regions

... two functions f and g analytic in E, we say that f is subordinate to g, denoted by f ≺ g , if there exists a Schwarz function w with w() =  and |w(z)| <  such that f (z) = ... See full document

14

On Certain Multivalent Starlike or Convex Functions with Negative Coefficients

On Certain Multivalent Starlike or Convex Functions with Negative Coefficients

... By means of a di ff erential operator, we introduce and investigate some new subclasses of p- valently analytic functions with negative coefficients, which are starlike or convex of complex ... See full document

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