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  1. 1 Open Physics

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  1. 1 2013

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  1. 1 Ansari A.

  2. 1 Kordrostami S.

  3. 1 Sheikhani A.

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On the generating function e xt+yϕ(t) and its fractional calculus

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Ansari A., Sheikhani A., Kordrostami S.
Open Physics
|
2013
|
vol. 11
|
issue 10
1457-1462
EN
In this article, we derive the coefficient set {H m(x,y)}m=1∞ using the generating function ext+yϕ(t). When the complex function ϕ(t) is entire, using the inverse Mellin transform, and when ϕ(t) has singular points, using the inverse Laplace transform, the coefficient set is obtained. Also, bi-orthogonality of this set with its associated functions and its applications in the explicit solutions of partial fractional differential equations is discussed.
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