Some Considerations in Connection with Alternating Kurepa’s Function
نویسنده
چکیده
Abstract. In this paper we consider the functional equation for alternating factorial sum and its particular solutions (alternating Kurepa’s function A(z) [19] and function A1(z)). We determine an extension of domain of functions A(z) and A1(z) in the sense of the principal value at point. Using the methods from [6] and [20] we give a new representation of alternating Kurepa’s function A(z), which is an analog of Slavić’s representation of Kurepa’s function K(z) [6]. Also, we consider some representations of functions A(z) and A1(z) via incomplete gamma function and we consider differential transcendency of previous functions too.
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