On the Functional Equation f(λ)+f(ωλ)f(ω -1 λ)=1, (ω 5 =1)
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de : P. Collet, P.A. Meyer, P. Moussa, V. Rivasseau, Y. Sibuya et B. Malgrange, Tome 34 (1984), Exposé no. 5, 13 p. 
@article{RCP25_1984__34__91_0,
     author = {Sibuya, Yasutaka},
     title = {On the {Functional} {Equation} $f(\lambda )+f(\omega \lambda )f(\omega ^{-1}\lambda )=1$, $(\omega ^5=1)$},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:5},
     pages = {91--103},
     year = {1984},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {34},
     language = {en},
     url = {https://www.numdam.org/item/RCP25_1984__34__91_0/}
}
TY  - JOUR
AU  - Sibuya, Yasutaka
TI  - On the Functional Equation $f(\lambda )+f(\omega \lambda )f(\omega ^{-1}\lambda )=1$, $(\omega ^5=1)$
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:5
PY  - 1984
SP  - 91
EP  - 103
VL  - 34
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - https://www.numdam.org/item/RCP25_1984__34__91_0/
LA  - en
ID  - RCP25_1984__34__91_0
ER  - 
%0 Journal Article
%A Sibuya, Yasutaka
%T On the Functional Equation $f(\lambda )+f(\omega \lambda )f(\omega ^{-1}\lambda )=1$, $(\omega ^5=1)$
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:5
%D 1984
%P 91-103
%V 34
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U https://www.numdam.org/item/RCP25_1984__34__91_0/
%G en
%F RCP25_1984__34__91_0
Sibuya, Yasutaka. On the Functional Equation $f(\lambda )+f(\omega \lambda )f(\omega ^{-1}\lambda )=1$, $(\omega ^5=1)$. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de : P. Collet, P.A. Meyer, P. Moussa, V. Rivasseau, Y. Sibuya et B. Malgrange, Tome 34 (1984), Exposé no. 5, 13 p.. https://www.numdam.org/item/RCP25_1984__34__91_0/

1) I. Bakken, A multiparameter eigenvalue problem in the complex plane, Amer. J. of Math., 99 (1977) 1015-1044 ; | Zbl | MR

2) P. F. Hsieh and Y. Sibuya, On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients, J. Math. Ana. Appl., 16 (1966) 84-103 ; | Zbl | MR

3) E. R. Kolchln, Differential Algebra and Algebraic Groups, Academic Press, 1973 | Zbl | MR

4) W. Messing and Y. Sibuya, A generalization of Theorem 90 of Hilbert, under preparation ;

5) Y. Sibuya and R. Cameron, An entire solution of the functional equation f(λ)+f(ωλ)f(ω -1 λ)=1, (ω 5 =1)Proc. of Symposium on Ordinary Differential Equations at Univ. of Minnesota, May 29-30, 1972, Lecture Notes in Math., No. 312, 194-202, Springer-Verlag, 1073 ; | Zbl | MR

6) Y. Sibuya, Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient, Math. Studies 18, North-Holland, 1975 ; | Zbl | MR

7) A. Voros, The return of the quartic oscillator. The complex WKB method, Ann. Inst. Henri Poincaré, Section A: Physique théorique, 39 (1983) 211-338 ; | Zbl | MR | Numdam

8) A. Voros, The zeta function of the quartic oscillator, Nuclear Physics B165 (1980) 209-236 ;

9) W. Wasow, Asymptotic Expansions for Ordinary Differential Equations, John Wiley, 1965. | Zbl | MR