On q-analogues of the Mangontarum transform for certain q-Bessel functions and some application

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• 作者：S.K.Q. Al-Omari ^{s.k.q.alomari@fet.edu.jo" class="auth_mail" title="E-mail the corresponding author}
• 关键词：q-Laplace transform ; q-Mangontarum transform ; q-Bessel Function ; q-Sumudu transform
• 刊名：Journal of King Saud University - Science
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：28
• 期：4
• 页码：375-379
• 全文大小：423 K

文摘

Several q-analogues of certain integral transforms have been recently investigated by many authors in the recent past. In this paper, we introduce certain analogues of the so-called q-Mangontarum transform and implement the proposed variants to given classes of q-Bessel functions. The results of this paper are new and complement the previously known results of Mangontarum (2014). Some results related to q-Laplace transforms are also obtained.