In this paper, we first give the definition of biholomorphic convex mappings of order α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document} on the Reinhardt domain Dpn\documentclass[12pt]{minimal}
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\begin{document}$$D_{p}^n$$\end{document} in Cn\documentclass[12pt]{minimal}
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\begin{document}$$C^{n}$$\end{document}. Next, we provide several sufficient conditions for it. Then we introduce a subclass SK(Dpn,α)\documentclass[12pt]{minimal}
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\begin{document}$$SK(D_{p}^n, \alpha )$$\end{document} of biholomorphic convex mappings of order α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document} on Dpn\documentclass[12pt]{minimal}
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\begin{document}$$D_{p}^n$$\end{document}, and give a necessary and sufficient condition for the subclass SK(Dpn,α)\documentclass[12pt]{minimal}
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\begin{document}$$SK(D_{p}^n, \alpha )$$\end{document}. From these, we construct some concrete examples of biholomorphic convex mappings of order α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document} on Dpn\documentclass[12pt]{minimal}
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\begin{document}$$D_{p}^n$$\end{document}. The results presented extend the related results of earlier authors.
