The hutC gene of Pseudomonas putida encodes a repressor which, in combination with the inducer urocanate, regulates expression of the five structural genes necessary for conversion of histidine to glutamate, ammonia, and formate. The nucleotide sequence of the hutC region was determined and found to contain two open reading frames which overlapped by one nucleotide. The first open reading frame...

In this paper we obtain a noncommutative multivariable analogue of the classical NevanlinnaPick interpolation problem for analytic functions with positive real parts on the open unit disc. Given a function f : Λ → C, where Λ is an arbitrary subset of the open unit ball Bn := {z ∈ Cn : ‖z‖ < 1}, we find necessary and sufficient conditions for the existence of a free holomorphic function g with c...

The clean-factor operator is a multipartite graph operator that has been introduced in the context of complex network modelling. Here, we consider a less constrained variation of the clean-factor operator, named strong-factor operator, and we prove that, as for the clean-factor operator, the iteration of the strong-factor operator always terminates, independently of the graph given as input. Ob...

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

In the present investigation, we obtain some subordination and superordination results involving Dziok-Srivastava linear operator H l m[α1] for certain normalized analytic functions in the open unit disk. Our results extend corresponding previously known results.

We give an elementary introduction to the subject of operator algebras and non-commutative analysis with the emphasis on material related to a number of open problems arising from quantum mechanics.

Making use of the convolution operator we introduce a new class of analytic functions in the open unit disk and investigate some subordination results. c ©2017 All rights reserved.

We introduce new classes of q -starlike and q -convex functions of complex order involving the q -derivative operator defined in the open unit disc. Furthermore, we find estimates on the coefficients for second and third coefficients of these classes.

By making use of an integral operator defined in an open unit disk, we introduce and study certain new subclasses of p-valent functions. Inclusion relationships are established and integral preserving properties of functions in these subclasses are discussed.