TY - JOUR
AU - Srivastava, Bhaskar
PY - 2007/03/31
Y2 - 2022/05/29
TI - Bibasic $q$-Appell series connected with Ramanujan's continued fractions
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 38
IS - 1
SE -
DO - 10.5556/j.tkjm.38.2007.93
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/93
SP - 51-56
AB - In this paper we give some summation formulae for bibasic $ q $-Appell function $ \overline{\varphi}^{(1)} $ and express Appell function $ \overline{\varphi}^{(1)} $ in terms of classical continued fractions of Ramanujan. We also express the $ q $-Appell function $ \varphi^{(1)} $ on one base as a continued fraction. The bibasic approach for the Appell series, we think, is new.
ER -