A Pair of Linear Canonical Hankel Transformations of Random Order

  • Akhilesh PrasadEmail author
  • Tanuj Kumar


Present paper is devoted to study a pair of linear canonical Hankel transformations of random order and its inverse. Some interesting properties of these transformations are given. Finally, these transformations are used to obtain the solution of some partial differential equations involving Bessel type differential operators.


Linear canonical transformation Hankel transformation Zemanian space 

Mathematics Subject Classification

Primary 65R10 46F12 53D22 Secondary 46F05 



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Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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