Concept:
Arshile Gorky (1904--1948) was one of the pioneers of American Abstract Expressionism and played a vital role in bridging European Surrealism with the emerging American Abstract Expressionist movement.
Step 1: Examine each statement.
\[
\begin{aligned}
A. &\ \text{Correct. Gorky was a leading Abstract Expressionist painter.}
B. &\ \text{Correct. He formed a transition between European Surrealism and American Abstract Expressionism.}
C. &\ \text{Incorrect. He was born in 1904, not 1810.}
D. &\ \text{Correct. }\textit{The Artist and His Mother}\text{ (1926--1936) is one of his most famous works.}
E. &\ \text{Incorrect. He died in 1948, not 1982.}
\end{aligned}
\]
Step 2: Identify the correct statements.
The correct statements are
\[
\boxed{A,\ B,\ \text{and}\ D}
\]
Hence,
\[
\boxed{\text{(D)}}
\]