Polar-Analytic Functions: Old and New Results, Applications

Between old and new: Brandom’s analytic pragmatism

1 Introduction Robert Brandom's follow-up to the monumental Making it Explicit 1 —in anticipation of which many have waited with baited breath—has finally appeared. Between Saying and Doing 2 is the text of his John Locke Lectures, delivered at the University of Oxford in 2006. Although Brandom is keen to insist that the two enterprises the books contain 'are largely orthogonal', many of the pr...

Quasi–convolution of Analytic Functions with Applications

In this paper we define a new concept of quasi-convolution for analytic functions normalized by f (0) = 0 and f ′(0) = 1 in the unit disk E = {z ∈ C: |z| < 1} . We apply this new approach to study the closure properties of a certain class of analytic and univalent functions under some families of (known and new) integral operators.

New Approaches and Results in the Theory of Discrete Analytic Functions

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DIFFERENTIAL SUBORDINATION AND SUPERORDINATION RESULTS FOR p-VALENT ANALYTIC FUNCTIONS

Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.

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