Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.1080/10652469.2020.1756794

Ключевые слова: hypergeometric series, algebraic equations, horn-kapranov parameterization, amoeba, 32a07, 33c70

Аннотация: Description of convergence domains for multiple power series is a quite difficult problem. In 1889 J.Horn showed that the case of hypergeomteric series is more favourable. He found a parameterization formula for surfaces of conjugative radii of such series. But until recently almost nothing was known about the description of convergence domains in terms of functional inequalities rho(j)(vertical bar a(1)vertical bar,..., vertical bar a(m)vertical bar)

Журнал: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Выпуск журнала: Vol. 31, Is. 10

Номера страниц: 838-855

ISSN журнала: 10652469

Место издания: ABINGDON

Издатель: TAYLOR & FRANCIS LTD

• Cherepanskiy A.N. (Siberian Fed Univ, Inst Math & Comp Sci, Pr Svobodnyi 79, Krasnoyarsk, Russia)
• Tsikh A.K. (Siberian Fed Univ, Inst Math & Comp Sci, Pr Svobodnyi 79, Krasnoyarsk, Russia)

• Web of Science Core Collection
• Scopus
• Ядро РИНЦ (eLIBRARY.RU)