TY - JOUR
AU - Shen, Li
AB - Let G be the group of the fractional linear transformations generated by 
$$T(\tau ) = \tau  + \lambda ,S(\tau ) = \frac{{\tau \cos \frac{\pi }{n} + \sin \frac{\pi }{n}}}{{ - \tau \sin \frac{\pi }{n} + \cos \frac{\pi }{n}}};$$



T
(
τ
)
=
τ
+
λ
,
S
(
τ
)
=


τ
cos

π
n

+
sin

π
n



−
τ
sin

π
n

+
cos

π
n



;




where 
$$\lambda  = 2\frac{{\cos \frac{\pi }{m} + \cos \frac{\pi }{n}}}{{\sin \frac{\pi }{n}}};$$



λ
=
2


cos

π
m

+
cos

π
n



sin

π
n



;




m, n is a pair of integers with either n ≥ 2,m ≥ 3 or n ≥ 3,m ≥ 2; τ lies in the upper half plane H.
TI - On Schwarzian Triangle Functions, Automorphic Forms and a Generalization of Ramanujan’s Triple Differential Equations
JF - Acta Mathematica Sinica, English Series
DO - 10.1007/s10114-018-6389-2
DA - 2018-05-07
UR - https://www.deepdyve.com/lp/springer-journals/on-schwarzian-triangle-functions-automorphic-forms-and-a-vps7saSKZH
SP - 1648
EP - 1662
VL - 34
IS - 11
DP - DeepDyve
ER -