Buchumschlag

Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter

Voros coefficients of the generalized hypergeometric differential equations with a large parameter are defined, and their explicit forms are given for the origin and for infinity. It is shown that they are Borel summable in some specified regions in the space of parameters, and their Borel sums in t...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Symmetry, Integrability and Geometry: Methods and Applications
Datum:	2022
Hauptverfasser:	Aoki, Takashi, Uchida, Shofu
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Інститут математики НАН України 2022
Online Zugang:	https://nasplib.isofts.kiev.ua/handle/123456789/211543
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:	Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter. Takashi Aoki and Shofu Uchida. SIGMA 18 (2022), 002, 23 pages

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Ähnliche Einträge

Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring
von: Karp, D., et al.
Veröffentlicht: (2016)

On the behavior of solutions of operator-differential equations at infinity
von: Butyrin, A.A.
Veröffentlicht: (1994)

On the behavior of solutions of operator-differential equations at infinity
von: Butyrin, A. A., et al.
Veröffentlicht: (1994)

On generalized solutions of differential equations with operator coefficients
von: Chernobai, O. B., et al.
Veröffentlicht: (2006)

On generalized solutions of differential equations with several operator coefficients
von: Chernobai, O. B., et al.
Veröffentlicht: (2012)

An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations)
von: Rains, E.M.
Veröffentlicht: (2011)

Behaviour on the infinity of the solution of the differential-operator first order equation in the Banach space
von: Gorbachuk, V. M., et al.
Veröffentlicht: (1988)

On -Middle Convolution and -Hypergeometric Equations
von: Arai, Yumi, et al.
Veröffentlicht: (2023)

On mappings with asymptotic homogeneity at infinity and Beltrami equations
von: V. Gutlyanskii, et al.
Veröffentlicht: (2021)

On the orthogonality of partial sums of the generalized hypergeometric series
von: S. M. Zahorodniuk
Veröffentlicht: (2022)

On the orthogonality of partial sums of the generalized hypergeometric series
von: Zagorodnyuk, S. M., et al.
Veröffentlicht: (2022)

Three-Parameter Solutions of the PV Schlesinger-Type Equation near the Point at Infinity and the Monodromy Data
von: Shimomura, S.
Veröffentlicht: (2018)

Asymptotics of the system of solutions of a general differential equation with parameter
von: Rykhlov, V. S., et al.
Veröffentlicht: (1996)

Elliptic Hypergeometric Solutions to Elliptic Difference Equations
von: Magnus, A.P.
Veröffentlicht: (2009)

Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient
von: Il'chenko, Yu. V., et al.
Veröffentlicht: (2011)

Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials
von: Tcheutia, D.D., et al.
Veröffentlicht: (2018)

Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
von: van de Bult, F.J., et al.
Veröffentlicht: (2009)

From Conformal Group to Symmetries of Hypergeometric Type Equations
von: Dereziński, J., et al.
Veröffentlicht: (2016)

Green’s functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient
von: Özen, K., et al.
Veröffentlicht: (2019)

Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators
von: Koornwinder, T.H.
Veröffentlicht: (2015)

Convergence of two-term differential operators with generalized functions in coefficients
von: A. S. Gorjunov, et al.
Veröffentlicht: (2013)

On the behavior of one class of homeomorphisms at infinity
von: R. R. Salimov, et al.
Veröffentlicht: (2022)

On the behavior of one class of homeomorphisms at infinity
von: Salimov, R. R., et al.
Veröffentlicht: (2022)

Asymptotic behavior of metric spaces at infinity
von: Bilet, V.V., et al.
Veröffentlicht: (2017)

Asymptotic behavior of metric spaces at infinity
von: V. V. Bilet, et al.
Veröffentlicht: (2017)

On the convergence of positive increasing functions to infinity
von: Buldygin, V.V., et al.
Veröffentlicht: (2010)

On the convergence of positive increasing functions to infinity
von: Buldygin, V. V., et al.
Veröffentlicht: (2010)

Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation
von: Nakazono, N.
Veröffentlicht: (2014)

On weak convergence of stochastic differential equations with irregular coefficients
von: I. H. Krykun
Veröffentlicht: (2023)

Two-Term Differential Equations with Matrix Distributional Coefficients
von: O. O. Konstantinov
Veröffentlicht: (2015)

Two-Term Differential Equations with Matrix Distributional Coefficients
von: Konstantinov, O. O., et al.
Veröffentlicht: (2015)

On the Asymptotic Integration of a System of Linear Differential Equations with a Small Parameter in the Coefficients of a Part of Derivatives
von: Samoilenko, A. M., et al.
Veröffentlicht: (2002)

Classification of Lie reductions of generalized Kawahara equations with variable coefficients
von: O. O. Vanieieva, et al.
Veröffentlicht: (2022)

Generalized fundamental elliptical systems of differentia equations with discontinuous coefficients
von: Parasyuk, L. S., et al.
Veröffentlicht: (1966)

A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres
von: Chapling, R.
Veröffentlicht: (2016)

Green&#039;s functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient
von: K. Цzen
Veröffentlicht: (2019)

Uniqueness of spaces pretangent to metric spaces at infinity
von: Dovgoshey, O., et al.
Veröffentlicht: (2019)

Finite spaces pretangent to metric spaces at infinity
von: Bilet V., V., et al.
Veröffentlicht: (2018)

Uniqueness of spaces pretangent to metric spaces at infinity
von: O. Dovgoshey, et al.
Veröffentlicht: (2019)

Finite spaces pretangent to metric spaces at infinity
von: V. Bilet, et al.
Veröffentlicht: (2018)