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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/190726 |
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| _version_ | 1841524725499559936 |
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| author | Sladjana D. Marinković Miomir S. Stanković Predrag M. Rajković |
| author_facet | Sladjana D. Marinković Miomir S. Stanković Predrag M. Rajković |
| author_sort | Sladjana D. Marinković |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-5902ace0b9a54b1e8226e0e3f21f6849 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5902ace0b9a54b1e8226e0e3f21f68492025-02-03T05:47:30ZengWileyAbstract 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 |
| 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 |
| title | 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_short | Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach |
| title_sort | functions induced by iterated deformed laguerre derivative analytical and operational approach |
| url | http://dx.doi.org/10.1155/2012/190726 |
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