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Univalency and convolution results associated with confluent hypergeometric functions
(Houston Journal of Mathematics, 2009)
Given the confluent hypergeometric functions Φ(a; c; z), we
place conditions on a and c to guarantee that zΦ(a; c; z) will be in two sub-
classes of univalent functions. In addition, we obtain conditions to obtain
some ...
Common right factor of skew polynomials / The Resultants of Non-Commutative Polynomials
(Matematički vesnik, 2008)
Let R = K[x; σ] be a skew polynomial ring over a division ring K. Necessary and sufficient condition under which common right factor of two skew polynomials exists is estab-lished. It is shown that the existence of common ...
On certain subclasses of univalent functions and radius properties
(Romanian Academy, Publishing House of the Romanian Academy, 2009)
Polynomial Interpolation Problem for Skew Polynomials
(Applicable Analysis and Discrete Mathematics, 2007)
Let R = K[x;δ] be a skew polynomial ring over a division ring K. We introduce the notion of derivatives of skew polynomial at scalars. An analogous definition of derivatives of commutative polynomials from K[x] as a function ...