The first Binet formula in the problem of the behavior of the gamma function on the imaginary axis

The first Binet formula in the problem of the behavior of the gamma function on the imaginary axis

(Russian, English abstract)

Kostin A. B., Sherstyukov V. B.
Siberian Electronic Mathematical Reports, 23, 1, pp. 177-199 (2026)

УДК 517.581 
DOI: 10.33048/semi.2026.23.012  
MSC 33B15


Abstract:

The behavior of the argument taken from the values of the gamma function at the points of the imaginary axis is studied in detail.

Keywords: gamma function, first Binet formula, argument, integral representation, Lambert W function