TY - JOUR AU - Mubeen, Shahid AU - Rehman, Abdur PY - 2014/12/31 Y2 - 2024/03/29 TI - A Note on $k$-Gamma Function and Pochhammer $k$-Symbol JF - Journal of Informatics and Mathematical Sciences JA - Jour. Inform. Math. Sci. VL - 6 IS - 2 SE - Research Articles DO - 10.26713/jims.v6i2.252 UR - http://www.rgnpublications.com/journals/index.php/jims/article/view/252 SP - 93-107 AB - In this note, we discuss some extended results involving the Pochhammer's symbol and express the multiple factorials in terms of the said symbol. We prove the $k$-analogue of Vandermonde's theorem which contains the binomial theorem as a limiting case. Also, we introduce some limit formulae involving the $k$-symbol and prove the $k$-analogue Gauss multiplication and Legendere's duplication theorems by using these formulae. ER -