Authors: Marinković, Slađana
Stanković, Miomir 
Rajković, Predrag
Title: Functions induced by iterated deformed Laguerre derivative: Analytical and operational approach
Journal: Abstract and Applied Analysis
Volume: 2012
2012
First page: 190726
Issue Date: 21-May-2012
Rank: M21a
ISSN: 1085-3375
DOI: 10.1155/2012/190726
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.
Publisher: Hindawi

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