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New intregral transform with Generalized Bessel-Maitland function kernel and its applications
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  • Durmuş Albayrak,
  • Ahmet Dernek,
  • Neşe Dernek,
  • Faruk Ucar
Durmuş Albayrak
Marmara University
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Ahmet Dernek
Marmara University
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Neşe Dernek
Marmara University
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Faruk Ucar
Marmara University
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Abstract

In this paper, authors introduce the generalized Bessel-Maitland transform whose kernel is the generalized Bessel-Maitland function. New identities are obtained for special cases of the generalized Bessel-Maitland function. Using these relations, several identities are obtained for generalized Bessel-Maitland integral transform. It is shown that some special cases of them are related with the Laplace transform and the Hankel transform. Also, some examples are given as representations of the outcomes presented here.

Peer review status:Published

09 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
12 Jul 2020Assigned to Editor
12 Jul 2020Submission Checks Completed
07 Aug 2020Review(s) Completed, Editorial Evaluation Pending
07 Aug 2020Reviewer(s) Assigned
07 Aug 2020Editorial Decision: Accept
29 Aug 2020Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.6837