Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach

Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach

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 demons...

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Main Authors: Sladjana D. Marinković, Miomir S. Stanković, Predrag M. Rajković
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/190726
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spelling doaj-5902ace0b9a54b1e8226e0e3f21f68492020-11-24T23:08:22ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/190726190726Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational ApproachSladjana D. Marinković0Miomir S. Stanković1Predrag M. Rajković2Department of Mathematics, Faculty of Electronic Engineering, University of Niš, 18000 Niš, SerbiaDepartment of Mathematics, Faculty of Occupational Safety, University of Niš, 18000 Niš, SerbiaDepartment of Mathematics, Faculty of Mechanical Engineering, University of Niš, 18000 Niš, SerbiaThe 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.http://dx.doi.org/10.1155/2012/190726
collection DOAJ
language English
format Article
sources DOAJ
author Sladjana D. Marinković
Miomir S. Stanković
Predrag M. Rajković
spellingShingle Sladjana D. Marinković
Miomir S. Stanković
Predrag M. Rajković
Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach
Abstract and Applied Analysis
author_facet Sladjana D. Marinković
Miomir S. Stanković
Predrag M. Rajković
author_sort Sladjana D. Marinković
title Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach
title_short Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach
title_full Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach
title_fullStr Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach
title_full_unstemmed Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach
title_sort functions induced by iterated deformed laguerre derivative: analytical and operational approach
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/190726
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AT miomirsstankovic functionsinducedbyiterateddeformedlaguerrederivativeanalyticalandoperationalapproach
AT predragmrajkovic functionsinducedbyiterateddeformedlaguerrederivativeanalyticalandoperationalapproach
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