✦ LIBER ✦

Construction of the generalised q-derivative operators

✍ Scribed by Dayanand Parashar; Deepak Parashar

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 95 KB
Volume: 48
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(03)00045-7

No coin nor oath required. For personal study only.

✦ Synopsis

This investigation pertains to the construction of a class of generalised deformed derivative operators which furnish the familiar finite difference and the q-derivatives as special cases. The procedure involves the introduction of a linear operator which is multiplicative over functions of a real variable. The validity of the general prescriptions is ascertained by considering suitable examples of such derivatives and constructing their eigenfunctions explicitly. The relationship of a particular version of the operator with the one-dimensional Möbius transformation is also established.

📜 SIMILAR VOLUMES

Construction of q-boson operators by usi

Construction of q-boson operators by using quon operators with q=0 as building blocks

✍ Zhaoyan Wu; Jiazhong Sun 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 67 KB

The q-boson or q-oscillator operators are constructed by using quon operators with q s 0 for both one-mode and Ž . multi-mode cases. This clarifies the relationship between the q-oscillator q-boson and the quon.

Construction of Bose and Fermi operators

Construction of Bose and Fermi operators in terms of q=0 quon operators

✍ Zhaoyan Wu; Ting Yu 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 214 KB

A Note on the q-Derivative Operator

✍ J. Koekoek; R. Koekoek 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 163 KB

The Construction of Noetherian Operators

✍ Ulrich Oberst 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 172 KB

We give an elementary and constructive, purely algebraic proof for the existence of noetherian differential operators for primary submodules of finite-dimensional free modules over polynomial algebras. By means of these operators the submodule can be described by differential conditions on the assoc

The pullback closure operator and genera

The pullback closure operator and generalisations of perfectness

✍ David Holgate 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 591 KB

An Operational Semantics Framework Suppo

An Operational Semantics Framework Supporting the Incremental Construction of Derivation Trees

✍ Allen Stoughton 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 638 KB

We describe the current state of the design and implementation of Dops, a framework for Deterministic OPerational Semantics that will support the incremental construction of derivation trees, starting from term/input pairs. This process of derivation tree expansion may terminate with either a comple