¨ hring, The behavior at unit argument of the hypergeometric function 3 F2 , SIAM
[1] W. Bu
J. Math. Anal., 18 (1987), pp. 1227–1234.
[2] A. Ebisu, Apparent singular points of factors of reducible generalized hypergeometric equations, Math. Nachr., 287 (2014), pp. 210–215.
[3]
, Four term relations for 3 F2 (x), preprint, (2022).
[4] A. Ebisu and K. Iwasaki, Three-term relations for 3 F2 (1), J. Math. Anal. Appl., 463
(2018), pp. 593–610.
´lyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher transcen[5] A. Erde
dental functions. Vol. I, Robert E. Krieger Publishing Co., Inc., Melbourne, Fla., 1981.
[6] Y. Kajihara, Euler transformation formula for multiple basic hypergeometric series of
type A and some applications, Adv. Math., 187 (2004), pp. 53–97.
68
蛭子 彰仁
[7] D. Karp and E. Prilepkina, Hypergeometric differential equation and new identities for
the coefficients of Nørlund and B¨
uhring, SIGMA Symmetry Integrability Geom. Methods
Appl., 12 (2016), pp. Paper No. 052, 23 pages.
[8] 岸岡広幸,野海正俊,Mellin 変換と接続問題,数理解析研究所講究録,1662 (2009),pp. 231–
260.
[9] K. Mimachi, Connection matrices associated with the generalized hypergeometric function
3 F2 , Funkcial. Ekvac., 51 (2008), pp. 107–133.
[10] N. E. Nørlund, Hypergeometric functions, Acta Math., 94 (1955), pp. 289–349.
[11] K. Okubo, K. Takano, and S. Yoshida, A connection problem for the generalized
hypergeometric equation, Funkcial. Ekvac., 31 (1988), pp. 483–495.
...