Certain results related to the N-transform of a certain class of functions and differential operators

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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Bibliographic Details
Main Author: Shrideh K Al-Omari
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Advances in Difference Equations
Subjects:
q-differential operator
q-trigonometric function
q-convolution product
q-natural transform
q-hyperbolic function
Heaviside function
Online Access:http://link.springer.com/article/10.1186/s13662-017-1457-y
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spelling doaj-30af9a4b231d4bb181daac702b4c305c2020-11-24T22:01:54ZengSpringerOpenAdvances 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
collection DOAJ
language English
format Article
sources DOAJ
author Shrideh K Al-Omari
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
author_facet Shrideh K Al-Omari
author_sort Shrideh K Al-Omari
title 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_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_sort certain results related to the n-transform of a certain class of functions and differential operators
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2018-01-01
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.
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
_version_ 1725837956851171328

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