Geodesic
On one equality of integrals
Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 1, pp. 51-54 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The note proves the equality $$\frac1{2\pi i}\mskip-8mu\oint_{|z|=r}\mskip-8mu\ln\mskip-4mu\left[1{-}f(z)\left(z{+}\frac1z\right)\right]dz= -\frac1{2\pi i}\mskip-8mu\oint_{|z|=r}\mskip-4mu\exp\left(\frac{1{-}\sqrt{1-4f^2(z)}}{2zf(z)}\right)dz.$$ 
@article{DVMG_2022_22_1_a3,
     author = {A. A. Dmitriev},
     title = {On one equality of integrals},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {51--54},
     year = {2022},
     volume = {22},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2022_22_1_a3/}
}
TY  - JOUR
AU  - A. A. Dmitriev
TI  - On one equality of integrals
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2022
SP  - 51
EP  - 54
VL  - 22
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/DVMG_2022_22_1_a3/
LA  - ru
ID  - DVMG_2022_22_1_a3
ER  - 
%0 Journal Article
%A A. A. Dmitriev
%T On one equality of integrals
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2022
%P 51-54
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/DVMG_2022_22_1_a3/
%G ru
%F DVMG_2022_22_1_a3
A. A. Dmitriev. On one equality of integrals. Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 1, pp. 51-54. http://geodesic.mathdoc.fr/item/DVMG_2022_22_1_a3/

[1] by А. П. Прудников, Ю. А. Брычков, О. И. Маричев Integraly i ryady, v. 1, Elementarnye funktsii, FIZMATLIT, M., 2002, 632 pp. | MR

[2] G. N. Vatson, Teoriya besselevykh funktsii, IIL, M., 1949, 799 pp.