Abstract:We introduce a
p
p
-adic analogue of the incomplete gamma function. We also introduce quantities (
m
m
-values) associated to a function on natural numbers and prove a new characterization of
p
p
-adic continuity for functions with
p
p
-integral
m
m
-values. Combinatorial interpretations for the integral values of the incomplete gamma function and functions with
m
m
-values zero or one are obtained, which show … Show more
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