TY - JOUR
AU - Jain, Rashmi
AU - Pathan, M. A.
PY - 2004/06/30
Y2 - 2024/07/16
TI - On Weyl fractional integral operators
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 35
IS - 2
SE - Papers
DO - 10.5556/j.tkjm.35.2004.218
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/218
SP - 169-174
AB - In this paper, we first establish an interesting theorem exhibiting a relationship existing between the Laplace transform and Weyl fractional integral operator of related functions. This theorem is sufficiently general in nature as it contains $n$ series involving arbitrary complex numbers $ \Omega(r_1,\ldots r_n) $. We have obtained here as applications of the theorem, the Weyl fractional integral operators of Kamp'e de F'eriet function, Appell's functions $ F_1 $, $ F_4 $, Humbert's function $ \Psi_1$ and Lauricella's, triple hypergeometric series $ F_E $. References of known results which follow as special cases of our theorem are also cited. Finally, we obtain some transformations of $ F^{(3)}$ and Kamp'e de F'eriet function with the application of our main theorem .
ER -