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- 要約等Two-by-two matrix functions, which are the lifts of the local solutions of the matrix hypergeometric differential equation of <i>SL</i> type......Each component of these matrix functions is represented...... power product of theta functions as integrand, ......nger integral. Transformations of the matrix functions under some modular transformations are establishe......sical formulas of theta functions. These are reg......ed as formulas of monodromy or connection of the hypergeometric function of Gauss.
- 参照ON A GENERALIZATION OF WIRTINGER^|^rsquo;S INTEGRAL ...
- 参照...éométriques de Gauss Elliptic Functions Tata Lectures ......Generalization of Legendre's Formula KE′-(K-E)K...
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- 要約等...ication scheme of algebraic transformations of Gauss hypergeometric functions, or pull-back transformations between hypergeometric differential e...... the classical transformations of degree 2, 3, 4......nd finds other transformations of some special classes of the Gauss hypergeometric function. The other transformations are considered......ly in a series of supplementing articles.
- 件名Gauss hypergeometric function Fuchsian equations Pull-back transformations
- 参照A new approach to hypergeometric transformation......UX EVALUATIONS OF ALGEBRAIC GAUSS HYPERGEOMETRIC FUNCTIONS On Transformations of <i>A</i>-Hypergeometric Functions
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- 要約等...fies algebraic transformations of Gauss hypergeometric functions and pull-back transformations between hypergeometric differential e...... the classical transformations of degree 2, 3, 4......nd finds other transformations of some special classes of the Gauss hypergeometric function. Kyus......am Development of Dynamic Mathematics with High...
- 出版者（掲載誌）Faculty of Mathematics, Kyushu Universit...
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国立国会図書館
デジタル記事
インターネットで読める全国の図書館
デジタル記事
インターネットで読める全国の図書館
- 要約等...icit algebraic transformations of some Gauss hypergeometric functions. Specifically, the transformations considered apply to hypergeometric solutions of hypergeometric differential e...... All algebraic transformations of these Gauss hypergeometric functions are considered......from classical transformations of degree 2, 3, 4...... several other transformations of degree 6, 8, 9......relevant Belyi functions explicitly. 16 pages; the acc...
- 参照Algebraic Transformations of 3F2 DARBOUX EVALUATIONS OF ALGEBRAIC GAUSS HYPERGEOMETRIC FUNCTIONS Algebraic Transformations of Gauss Hypergeometric Functions
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インターネットで読める全国の図書館
- 要約等Two-by-two matrix functions, which are the lifts of the local solutions of the matrix hypergeometric differential equation of SL SL type a......Each component of these matrix functions is represented...... power product of theta functions as integrand, ......nger integral. Transformations of the matrix functions under some modular transformations are establishe......sical formulas of theta functions. These are reg......ed as formulas of monodromy or connection of the hypergeometric function of Gauss.
- 件名hypergeometric function monodromy connection...
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インターネットで読める全国の図書館
- 要約等...r 2 x 2 matrix functions analytic on th......ociated to the hypergeometric function of Gauss, and establish transformations of these matrix functions under some modular transformations. The matrix functions studied here a......d as the lifts of the local solutions of the matrix hypergeometric differential equation of SL type (i.e., whose image of monodromy repr......Each component of the matrix functions is represented...... power product of theta functions as integrand. ......uniformize the hypergeometric function of Gauss to the upper h.......2)). In spite of many possibilities of application of the Wirtinger integral, there...
- 出版者（掲載誌）Department of Mathematics, Hokkaido Univers...