Certain results related to the N-transform of a certain class of functions and differential operators
Abstract In this paper, we aim to investigate q-analogues of the natural transform on various elementary functions of special type. We obtain results associated with classes of q-convolution products, Heaviside functions, q-exponential functions, q-hyperbolic functions and q-trigonometric functions...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1457-y |
| _version_ | 1818482936126636032 |
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| author | Shrideh K Al-Omari |
| author_facet | Shrideh K Al-Omari |
| author_sort | Shrideh K Al-Omari |
| collection | DOAJ |
| description | Abstract In this paper, we aim to investigate q-analogues of the natural transform on various elementary functions of special type. We obtain results associated with classes of q-convolution products, Heaviside functions, q-exponential functions, q-hyperbolic functions and q-trigonometric functions as well. Further, we give definitions and derive results involving some q-differential operators. |
| first_indexed | 2024-12-10T11:53:32Z |
| format | Article |
| id | doaj.art-30af9a4b231d4bb181daac702b4c305c |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T11:53:32Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-30af9a4b231d4bb181daac702b4c305c2022-12-22T01:49:51ZengSpringerOpenAdvances in Difference Equations1687-18472018-01-012018111410.1186/s13662-017-1457-yCertain results related to the N-transform of a certain class of functions and differential operatorsShrideh K Al-Omari0Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied UniversityAbstract In this paper, we aim to investigate q-analogues of the natural transform on various elementary functions of special type. We obtain results associated with classes of q-convolution products, Heaviside functions, q-exponential functions, q-hyperbolic functions and q-trigonometric functions as well. Further, we give definitions and derive results involving some q-differential operators.http://link.springer.com/article/10.1186/s13662-017-1457-yq-differential operatorq-trigonometric functionq-convolution productq-natural transformq-hyperbolic functionHeaviside function |
| spellingShingle | Shrideh K Al-Omari Certain results related to the N-transform of a certain class of functions and differential operators Advances in Difference Equations q-differential operator q-trigonometric function q-convolution product q-natural transform q-hyperbolic function Heaviside function |
| title | Certain results related to the N-transform of a certain class of functions and differential operators |
| title_full | Certain results related to the N-transform of a certain class of functions and differential operators |
| title_fullStr | Certain results related to the N-transform of a certain class of functions and differential operators |
| title_full_unstemmed | Certain results related to the N-transform of a certain class of functions and differential operators |
| title_short | Certain results related to the N-transform of a certain class of functions and differential operators |
| title_sort | certain results related to the n transform of a certain class of functions and differential operators |
| topic | q-differential operator q-trigonometric function q-convolution product q-natural transform q-hyperbolic function Heaviside function |
| url | http://link.springer.com/article/10.1186/s13662-017-1457-y |
| work_keys_str_mv | AT shridehkalomari certainresultsrelatedtothentransformofacertainclassoffunctionsanddifferentialoperators |