In this paper, we introduce the <TEX>q</TEX>-analogue of <TEX>p</TEX>-adic log gamma functions with weight alpha. Moreover, we give a relationship between weighted <TEX>p</TEX>-adic <TEX>q</TEX>-log gamma functions and <TEX>q</TEX>-extension of Genocchi and Euler numbers with weight alpha.
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Aracı et al. (2013) studied this question.
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