TY - JOUR
AU - Mubeen, Shahid
AU - Rehman, Abdur
PY - 2014/12/31
Y2 - 2024/03/04
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://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 -