- Literature Review.
Juma, Kulkarni (2007).
In this paper authors presented some inequalities concerning multivalent functions of differential operator ant introduced new subclasses in terms of differential operator. Some interesting consequences which are important for geometric function theory are also found out.
More, Khairnar (2007).
In this paper authors introduced a class of meromorphic univalent functions with missing and alternating coefficients. The objective of this paper is to derive coefficient inequality, distortion bounds, radius of starlikeness and convexity, Hadamard product, closure theorems and extreme points.
Athsan, Kulkarni (2007).
In this paper authors defined a subclass of p-valent meromorphic functions defined by an integral operator in a punctured unit disc Some results about coefficient estimates, closure theorem and distortion theorem are obtained. The various results in this paper are shown to be sharp.
Athsan, Kulkarni (2007).
In this paper authors defined a new class of p-valent functions defined by Dziok-Srivastava operator to discuss some of the properties like coefficient estimates, distortion bounds, integral representation, closure theorems. Also they tried to show the class is closed under convolution.
Juma, Kulkarni (2007).
In this paper authors introduced a class of meromorphic multivalent functions by using linear operator associated with differential operator. They have obtained some interesting results with derived the coefficient bounds and coefficient inequalities.
Jamal, Mousa (2006).
In this paper authors introduced a new class of uniformly convex functions defined by using a certain linear operator. Coefficient estimates, distortion theorems, and other Interesting properties of this class of functions are studied. Further class preserving Integral operator and some closed theorems for this class are also indicated.
Athsan, Kulkarni (2008).
In this paper, authors introduced the class by using the generalized Ruscheweyh derivatives involving a general fractional derivative operator. The aim of this paper is to study some interesting properties of this class, the coefficient bounds, radii of starlikeness and convexity and Quasi-Hadamard product are obtained, we have also several results in their paper.
Athsan, Kulkarni (2008).
In this papernew classes of multivalently harmonic functions are introduced. We give sufficient coefficient bounds for f (z) ∈ HWp,k(λ, t, α) and then we show that these sufficient coefficient conditions are also necessary for f(z) ∈ HWp,k(λ, t, α). Furthermore, we determine extreme points, convex combination, distortion bounds and integral operator for these functions. Also we get new results in this paper.
Ravichandran Darus, Khan, Subramanian(2004).
In this present investigation, the authors obtain Fekete-Szegö inequality for a certain class of analytic functions f(z) for which lies in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain application of their main result for a class of functions defined by Hadamard product (convolution) is given. As a special case of their result they obtain Fekete- Szegö inequality for a class of functions defined through fractional derivatives. Also they obtain Fekete-Szegö inequality for the inverse functions.
Shaqsi, Darus (2007).
For λ ≥ 0,, the authors introduced the operator ,which is a generalized Ruscheweyh derivatives operator. In this paper, some results on coefficient inequalities, growth and distortion theorems, closure theorems and extreme points for the class of analytic functions defined by aforementioned operator are obtained.
Shaqsi, Darus(2007).
In this paper, authors introduced the generalization of Ruscheweyh derivativesOperator. In the present paper, we study a new class(a, b, α, β, γ),defined by for 0 ≤ α < 1, 0 < β ≤ 1,−1 ≤ a < b ≤ 1, 0 < b ≤ 1, 0 γ ≤ b/b−a, n ∈N0
and λ ≥ 0.
Shaqsi, Darus (2007).
In this paper the authors studied the coefficient estimate of a class offunctions starlike with respect to k-symmetric points defined by derivativeoperators introduced by Al-Shaqsi and Darus. The integralrepresentation and several coefficient inequalities of functions belongingto this class are obtained.
Ghanim, Darus (2008).
In the present paper, the authors introduce and study on certainnew subclass of function with fixed second positive coefficients in theopen unit disk.
Guney (2007).
In this paper a sufficient condition had been given for the class SH(α).We show that these coefficient conditions are also necessary when hhas negative and g has positive coefficients. These lead to distortionbounds.
Guney, Eker (2007).
By making use of the familiar concept of neighborhoods of analytic functions, authors proved several inclusion relations associated with the (n, δ)-neighborhoods of various subclass of univalent functions with negativecoefficients.
Sekine, Surumi, Owa, Srivastava (2002).
In this paper integral means inequalities are obtained for the fractional derivatives of order of functions belonging to certain general subclassesof analytic functions. Relevant connections with various known integral means inequalities are also pointed out.
Aouf,Silverman(2007).
The object of the present paper is to investigate coefficients for functionsbelonging to the subclasses Rp[α, β] and Cp[α, β] of p-valent α-prestarlike functions of order β with negative coefficients. The authors obtained closuretheorems, integral operators, radius of starlikeness and distortiontheorems for functions belonging to the classes Rp[α, β] and Cp[α, β]. They also obtain several results for the modified Hadamard products offunctions belonging to the classes Rp[α, β] and Cp[α, β].
Shaqsi, Darus(2008)
Let A be the class of all analytic functions of the formDefine on the open unit disk. In this paper authors defined a subclassof - uniform starlike and convex functions by using the generalized Ruscheweyh derivatives operator introduced by authors [3] and defined by
where
. We obtain several properties belongs to this class.
Shenan (2007).
In this paper a new subclass of uniformly convex functions with negative coefficients defined by Dziok-Srivastava Linear operator is introduced. Characterization properties exhibited by certain fractional derivative operators of functions and the result of modified Hadmard product are discussed for this class. Further class preserving integral operator, extreme points and other interesting properties for this class are also indicated.
Juma, Kulkarni (2007).
In this paper authors have introduced a subclass ofunivalent functions with negative coefficients defined by Salagean operator. They have obtained sharp results for coefficient estimates,distortion and closure bounds, Hadamard product and other results.
Juma, Kulkarni (2007).
By applying Ruscheweyh derivative on the class (λ, α, k, γ) ofharmonic univalent functions in the unit disk U, authors obtain several interestingproperties such as sharp coefficient relations, distortion bounds,extreme points, Hadamard product, and other results.Frasin, Murugusundaramoorthy (2005). In this paper, they introduced two subclasses and of meromorphic p-valentfunctions in the punctured disk D = {z : 0 < |z| < 1}. Coefficient inequalities, distortiontheorems, the radii of starlikeness and convexity, closure theorems and Hadamard product (orconvolution) of functions belonging to these classes are obtained.
Murugusundaramoorthy, Srivastava (2004).
By making use of the familiar concept of neighborhoods of analytic functions,the authors proved several inclusion relations associated with the (n,)-neighborhoods of certainsubclasses of analytic functions of complex order, which are introduced here by means of theRuscheweyh derivatives. Special cases of some of these inclusion relations are shown to yield known results.
Murugusundaramoorthy, Rosy, Darus (2005).
In this paper, authors introduced a new class of functions which are analytic and univalentwith negative coefficients defined by using a certain fractional calculus and fractionalcalculus integral operators. Characterization property,the results on modified Hadamard productand integrals transforms are discussed. Further, distortion theorem and radii of starlikeness andconvexity are also determined here.
Janteng, Halim (2007).
Complex-valued harmonic meromorphic functions that are univalentand orientation preserving outside the unit circle can be written inthe form f = h + , where h and g are analytic in . They defined andinvestigate a subclass of harmonic meromorphic functions. They obtaincoefficient conditions, extreme points, distortion bounds, convolutionconditions and convex combinations for the above subclass of harmonic meromorphic functions.
Irmak (2005).
The aim of the present investigation is to consider certain results(that are that p-valently starlikeness and convexity of complex order, and certain memorization problems) for functions in the classes and ofp-valently analytic functions which are defined by using the fractional calculus operator. Relevant connections of the results presented here with those given earlieron the subject are also indicated.
Sharma, Misra (2009).
In this paper authors introduced and studied a class of p-valent meromorphic functions which is a subclass of close to convex functions in U*= {z:0}.
Suleman (2009).
In this paper author tried to point out three new inequalities of the HadamardType and used a simple new technique in the proof.
Murugusundaramoorthy,Magesh (2008).
In this paper Cho-Kwon-Srivastava linear operator and Jun-Kim-Srivastava integral operator for p-valent functions in the open unit disc are introduced and an application to second order differential inequalities theorem of Miller and Mocanu is discussed.
Reddy, Reddy and Sharma (2008).
The object of this paper is to generalize some of the well known results and obtain interesting new results using the technique of differential subordination.
Rajas,Khairnar (2007).
In this paper authors introduced a subclass of univalent functions with missing even coefficients on the lines of Silverman and Berman. They have obtained some properties of that class like coefficient estimate,Hadamard product of univalent functions. The results obtained are found to be sharp.