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Solution of conformable Laguerre and associated Laguerre equations using Laplace transform†
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In this paper, the conformable Laguerre and associated Laguerre
differential equations are solved using the Laplace transform. The
solution is found to be in exact agreement with that obtained using the
power series method. In addition some properties and some recursion
relations of the Laguerre and associated Laguerre functions are
discussed and proved. Then, the conformable Rodriguez's formula and
generating function are propose
Title: Solution of conformable Laguerre and associated Laguerre equations using Laplace transform†
Description:
In this paper, the conformable Laguerre and associated Laguerre
differential equations are solved using the Laplace transform.
The
solution is found to be in exact agreement with that obtained using the
power series method.
In addition some properties and some recursion
relations of the Laguerre and associated Laguerre functions are
discussed and proved.
Then, the conformable Rodriguez's formula and
generating function are propose.
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