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Note on the Degenerate Gamma Function

Recently, the degenerate gamma functions were introduced as a degenerate version of the usual gamma function. In this paper, we investigate several properties of these functions. Namely, we obtain an analytic continuation as a meromorphic function on the whole complex plane, the difference formula,...

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Detalles Bibliográficos
Autores principales: Kim, T., Kim, D. S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Pleiades Publishing 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7471554/
http://dx.doi.org/10.1134/S1061920820030061
Descripción
Sumario:Recently, the degenerate gamma functions were introduced as a degenerate version of the usual gamma function. In this paper, we investigate several properties of these functions. Namely, we obtain an analytic continuation as a meromorphic function on the whole complex plane, the difference formula, the values at positive integers, some expressions following from the Weierstrass and Euler formulas for the ordinary gamma function, and an integral representation as an integral along a Hankel contour.