On the relationship between the homotopy analysis method and Euler transform

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An optimal homotopy-analysis approach for strongly nonlinear differential equations (2010, methodology): “Besides, Liao [24] revealed the relationship between the homotopy-analysis method (in some special cases) and the famous Euler transform, which explains clearly why the homotopy-analysis method can ensure the convergence of homotopy-series solution.”
Homotopy Analysis Method in Nonlinear Differential Equations (2012, methodology): “Using Tm,k(c0,A,B) defined by (5.6) and (5.7) – (5.9), Liao (2010a) defined a new transform of a sequence, namely the homotopy-transform, and proved that it logically contains the Euler-transform E (λ ).”
MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation (2015, unknown): “Hence both nonlinear momentum and energy equations are computed by a modern technique namely the homotopy analysis method (HAM) [22–30].”