Convergence of two-dimensional hypergeometric series for algebraic functions

Описание

Тип публикации: статья из журнала

Идентификатор DOI: 10.1080/10652469.2020.1756794

Ключевые слова: hypergeometric series, algebraic equations, horn-kapranov parameterization, amoeba

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 converПоказать полностьюgence domains in terms of functional inequalities rho(j)(vertical bar a(1)vertical bar,..., vertical bar a(m)vertical bar)

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Издание

Журнал: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

ISSN журнала: 10652469

Место издания: ABINGDON

Издатель: TAYLOR & FRANCIS LTD

Авторы

  • 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)

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