Linear differential operator with an involution as a generator of an operator group

An Operator Extension of Bohr's inequality

An Unusual Self-adjoint Linear Partial Differential Operator

In an American Mathematical Society Memoir, to appear in 2003, the authors Everitt and Markus apply their prior theory of symplectic algebra to the study of symmetric linear partial differential expressions, and the generation of self-adjoint differential operators in Sobolev Hilbert spaces. In the case when the differential expression has smooth coefficients on the closure of a bounded open re...

Weyl Closure of a Linear Differential Operator

(Received) We study the Weyl closure Cl(L) = K(x)h@iL \ D for an operator L of the rst Weyl algebra D = Khx;@i. We give an algorithm to compute Cl(L) and we describe its initial ideal under the order ltration. Our main application is an algorithm for constructing a Jordan-HH older series for a holonomic D-module and a formula for its length. Using the closure, we also reproduce a result of Strr...

On a subclass of multivalent analytic functions associated with an extended fractional differintegral operator

Making use of an extended fractional differintegral operator ( introduced recently by Patel and Mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.

An Intertwining Operator for the Group B2

There is a commutative algebra of di¤erential-di¤erence operators, acting on polynomials on R2, associated with the re‡ection group B2. This paper presents an integral transform which intertwines this algebra, allowing one free parameter, with the algebra of partial derivatives. The method of proof depends on properties of a certain class of balanced terminating hypergeometric series of 4F3-typ...