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On inequalities for certain multivalent functions involving Ruscheweyh derivative

100%

Aouf M. , Darwish H. , Attiya A.

Demonstratio Mathematica

2000

tom Vol. 33, nr 2

283-288

Subclasses of typically-real functions defined by Ruscheweyh derivative

86%

Lecko A. , Lecko M. , Yaguchi T.

Demonstratio Mathematica

2008

tom Vol. 41, nr 4

823-832

For each lambda>- 1 let TR(lambda) be the class of all functions f analytic in D= {z is an element of C : \z\ < 1} of the form f (z) = [...] having real coefficients and satisfying the condition [...] where Llambda denote the Ruscheweyh derivative. Some basic properties of functions in are presented.

Application of generalized Ruscheweyh derivatives on p-valent functions

72%

Parihar H. S. , Agarwal R.

Journal of Mathematics and Applications

2011

tom Vol. 34

75--86

In this paper, we define a new class of p-valent analytic functions with finitely many coefficients by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator. Some properties of this class are also investigated. e.g. Coefficient estimates, convex combination, arithmatic mean, extreme points, radii of starlikeness and convexity. Many known results are as a special case of our results.

Applications of convolution properties

51%

Trojnar-Spelina L.

Demonstratio Mathematica

2013

tom Vol. 46, nr 3

513--523

K. I. Noor (2007 Appl. Math. Comput. 188, 814–823) has defined the classes Qk(a, b, λ, γ) and Tk(a, b, λ, γ) of analytic functions by means of linear operator connected with incomplete beta function. In this paper, we have extended some of the results and have given other properties concerning these classes.