- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Annual Issues
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 190726, 17 pages
doi:10.1155/2012/190726
Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach
1Department of Mathematics, Faculty of Electronic Engineering, University of Niš, 18000 Niš, Serbia
2Department of Mathematics, Faculty of Occupational Safety, University of Niš, 18000 Niš, Serbia
3Department of Mathematics, Faculty of Mechanical Engineering, University of Niš, 18000 Niš, Serbia
Received 27 December 2011; Accepted 23 January 2012
Academic Editor: Muhammad Aslam Noor
Copyright © 2012 Sladjana D. Marinković et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The one-parameter deformed exponential function was introduced as a frame that enchases a few known functions of this type. Such deformation requires the corresponding deformed operations (addition and subtraction) and deformed operators (derivative and antiderivative). In this paper, we will demonstrate this theory in researching of some functions defined by iterated deformed Laguerre operator. We study their properties, such as representation, orthogonality, generating function, differential and difference equation, and addition and summation formulas. Also, we consider these functions by the operational method.