Properties of a class of functions with bounded boundary rotation
Properties of certain integral operators.
Properties of certain -valently convex functions.
Properties of differences of meromorphic functions
Let be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference and the divided difference .
Properties of functions concerned with Carathéodory functions
Let Pn denote the class of analytic functions p(z) of the form p(z) = 1+cnzn + cn+1zn+1 + ... in the open unit disc U . Applying the result by S. S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65 (1978), 289-305), some interesting properties for p(z) concerned with Carath´eodory functions are discussed. Further, some corollaries of the results concerned with the result due to M. Obradović and S. Owa (Math. Nachr. 140 (1989), 97-102) are shown.
Properties of harmonic conjugates
We give a new proof of Hardy and Littlewood theorem concerning harmonic conjugates of functions u such that ∫D |u(z)|pdA(z) < ∞, 0 < p ≤ 1. We also obtain an inequality for integral means of such harmonic functions u.
Properties of new classes of multivalent analytic functions
Properties of real sewing functions.
Properties of Some Extremal Nonvanishing Univalent Functions.
Properties of some families of meromorphic multivalent functions associated with generalized hypergeometric functions
Properties of some families of meromorphic -valent functions involving certain differential operator.
Properties of the L function
Properties of the mappings that are close to the harmonic mappings. II.
Properties of the Salagean operator.
Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series
Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.
Propositions arithmétiques tirées de la théorie de la fonction exponentielle. (Extrait d'une Lettre adressée à M. Hermite)
Propriétés arithmétiques des fonctions entières
Propriétés générales des substitutions à une variable et des fonctions qu'elles laissent invariables
Proximate Exceptional Values of Entire and Meromorphic Functions.
Pseudo shift operators with large images
We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.