Abstract
The asymptotic behavior of two classes of functions expressed by integrals is considered in the paper. For special values of the parameters the functions of these classes are 1/Γ(z) or Γ(z+1). The necessity of their study is occasioned by the connection problem for an ordinary linear differential equation with two singular points. By means of a number of lemmas and the method of descent, a theorem is proved which gives the asymptotics of these functions as ¦z¦ → ∞ in some sector.
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