Abstract:

Using the definition of the Δ-analytic functions and analytic continuation theorem for realvalued functions,
 we derived the sufficient and necessary conditions for local Δ-analytic continuation in some cases. We also researched the Δ-analyticity for monomial p_n(z)=zⁿ and obtained the results for n=3 and n=4 in some cases.

Key words: time scale, Δ-analytic function, Δ-analytic continuation