q-Analogue of Exponential Operators and Difference Equations

• Journal title : Kyungpook mathematical journal
• Volume 53, Issue 3,  2013, pp.349-369
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2013.53.3.349
Title & Authors
q-Analogue of Exponential Operators and Difference Equations

Abstract
The present paper envisages the $\small{q}$-analogue of the exponential operators, determined by G. Dattoli and his collaborators for translation and diffusive operators which were utilized to establish analytical solutions of difference and integral equations. The generalization of their technique is expected to cover wide range of such utilization.
Keywords
q-Calculus;q-Exponential operators;
Language
English
Cited by
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