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Applications of convolution properties

Trojnar-Spelina L.

Demonstratio Mathematica

2013

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.

Application of generalized Ruscheweyh derivatives on p-valent functions

Parihar H. S., Agarwal R.

Journal of Mathematics and Applications

2011

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.

Subclasses of typically-real functions defined by Ruscheweyh derivative

Lecko A., Lecko M., Yaguchi T.

Demonstratio Mathematica

2008

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.

On inequalities for certain multivalent functions involving Ruscheweyh derivative

Aouf M., Darwish H., Attiya A.

Demonstratio Mathematica

2000

Vol. 33, nr 2

283-288