Электронный каталог

Статья

Belousov, N.M.
From Hyperbolic to Complex Euler Integrals / N.M.Belousov, G.A.Sarkissian, V.P.Spiridonov. – Text : electronic // Analysis and Mathematical Physics. – 2026. – Vol. 16, No. 4. – P. 96. – URL: https://doi.org/10.1007/s13324-026-01238-y. – Bibliogr.: 24.

Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well known. We study in detail their degeneration to complex hypergeometric functions. Namely, using uniform bounds on the integrands, we prove that the univariate hyperbolic beta integral and the conical function degenerate to two-dimensional integrals over the complex plane



Спец.(статьи,препринты) = С 137 - Теория функций комплексного переменного. Теория функций нескольких комплексных переменных
Спец.(статьи,препринты) = С 133.4 - Специальные функции. Операционное исчисление
ОИЯИ = ОИЯИ (JINR)2026
Бюллетени = 41/026