Displaying similar documents to “Partial sums of certain analytic functions.”

Double Series and Sums

Noboru Endou (2014)

Formalized Mathematics

Similarity:

In this paper the author constructs several properties for double series and its convergence. The notions of convergence of double sequence have already been introduced in our previous paper [18]. In section 1 we introduce double series and their convergence. Then we show the relationship between Pringsheim-type convergence and iterated convergence. In section 2 we study double series having non-negative terms. As a result, we have equality of three type sums of non-negative double sequence....

Coefficient bounds for some subclasses of p-valently starlike functions

C. Selvaraj, O. S. Babu, G. Murugusundaramoorthy (2013)

Annales UMCS, Mathematica

Similarity:

For functions of the form f(z) = zp + ∑∞n=1 ap+n zp+n we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete-Szegö-like inequality for classes of functions defined through extended fractional differintegrals are obtained

On a Convexity Preserving Integral Operator

Oros, Gheorghe, Irina Oros, Georgia (2010)

Fractional Calculus and Applied Analysis

Similarity:

MSC 2010: 30C45, 30A20, 34C40 In this paper we determine conditions an analytic function g needs to satisfy in order that the function Fgiven by (1) be convex.