Some Characterization of the $q$-Gamma Function by Functional Equations. Nota II

 Access to full text

 Full (PDF)

 Full (DjVu)

1. Jackson, F.H. (1910) - On $q$-definite integrals. «Quart. Journ. pure and Appl. Math». 41, 193-203. Zbl41.0317.04
2. Askey, R. (1978) - The $q$-Gamma and $q$-Beta Functions. «Applicable Analysis», 8, 125-141. Zbl0398.33001MR523950DOI10.1080/00036817808839221
3. Askey, R. (1980) - Ramanujan's extension of gamma and beta functions. «Amer. Math. Monthly», 87, 346-359. MR567718DOI10.2307/2321202
4. Moak, D.S. (1980) - The $q$-gamma function for $q>1$. «Aequationes Math.», 20, No. 2-3, 278-285. Zbl0437.33002MR577493DOI10.1007/BF02190519
5. Koblitz, N. (1980) - $q$-Extension of the $p$-adic gamma function. «Trans. Amer. Math. Soc.», 260, 449-457. Zbl0443.12008MR574791DOI10.2307/1998014
6. Koblitz, N. (1982) - $q$-Extension of the $p$-adic gamma function. II. «Tran. Amer. Math. Soc.», 273, 111-129. MR664032DOI10.2307/1999195
7. Artin, E. (1964) - The Gamma Function. Holt, Rinehart and Winston, New York. MR165148

1. Marino Badiale, Francis J. Sullivan, A Note on Badiale's Characterization of the $q$-Gamma Functions