Logarithmic A-hypergeometric series
Keyword(s):
The method of Frobenius is a standard technique to construct series solutions of an ordinary linear differential equation around a regular singular point. In the classical case, when the roots of the indicial polynomial are separated by an integer, logarithmic solutions can be constructed by means of perturbation of a root. The method for a regular [Formula: see text]-hypergeometric system is a theme of the book by Saito, Sturmfels and Takayama. Whereas they perturbed a parameter vector to obtain logarithmic [Formula: see text]-hypergeometric series solutions, we adopt a different perturbation in this paper.
1986 ◽
Vol 17
(1)
◽
pp. 39-40
◽
1985 ◽
Vol 39
(2)
◽
pp. 178-186
◽
1964 ◽
Vol 71
(4)
◽
pp. 378-385
◽
1927 ◽
Vol 29
(3)
◽
pp. 497-497
1987 ◽
Vol 106
(3-4)
◽
pp. 277-305
◽