Download or read book Gr bner Deformations of Hypergeometric Differential Equations written by Mutsumi Saito and published by Springer. This book was released on 2011-08-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Gröbner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Gröbner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric PDE's introduced by Gelfand, Kapranov, and Zelevinsky. A number of original research results are contained in the book, and many open problems are raised for future research in this rapidly growing area of computational mathematics.

Download or read book Lectures on Algebraic Solutions of Hypergeometric Differential Equations written by Michihiko Matsuda and published by . This book was released on 1985 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lectures on Algebraic Solutions of Hypergeometric Differential Equations written by Kōtarō Okugawa and published by . This book was released on 1985 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Formal And Analytic Solutions Of Differential Equations written by Galina Filipuk and published by World Scientific. This book was released on 2022-03-03 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the reader with an overview of the actual state of research in ordinary and partial differential equations in the complex domain. Topics include summability and asymptotic study of both ordinary and partial differential equations, and also q-difference and differential-difference equations. This book will be of interest to researchers and students who wish to expand their knowledge of these fields.With the latest results and research developments and contributions from experts in their field, Formal and Analytic Solutions of Differential Equations provides a valuable contribution to methods, techniques, different mathematical tools, and study calculations.

Download or read book Hypergeometric Functions and Their Applications written by James B. Seaborn and published by . This book was released on 2014-01-15 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Hypergeometric Systems of Differential Equations written by Claudia Christina Röscheisen and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Expansion Problems in Connection with the Hypergeometric Differential Equation written by Bernhard Paul Reinsch and published by . This book was released on 1925 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multiple Hypergeometric Functions and Applications written by Harold Exton and published by Ellis Horwood. This book was released on 1976 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Hypergeometric Functions written by Kazuhiko Aomoto and published by . This book was released on 2011-05-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A P adic Theory of Hypergeometric Differential Equations written by Mark Isaac Heiligman and published by . This book was released on 1989 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Study of Certain Special Cases of the Hypergeometric Differential Equation written by James Harrington Boyd and published by . This book was released on 1893 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Systems of Partial Differential Equations of Hypergeometric Type written by and published by . This book was released on 1999 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Solutions of Holonomic Third order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions written by Merlin Mouafo Wouodjie and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Hypergeometric Series as it Appears in the Solution of Differential Equations of the Second and Third Order written by Mabel Helen Giffin and published by . This book was released on 1926 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Two Algebraic Byways from Differential Equations Gr bner Bases and Quivers written by Kenji Iohara and published by Springer Nature. This book was released on 2020-02-20 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced – with big impact – in the 1990s. Divided into two parts, the book first discusses the theory of Gröbner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gröbner bases to analysis on systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line. While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars.

Download or read book Representation Theory of the Virasoro Algebra written by Kenji Iohara and published by Springer Science & Business Media. This book was released on 2010-11-12 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations. Covering a wide range of material, this book has three appendices which provide background information required for some of the chapters. The authors organize fundamental results in a unified way and refine existing proofs. For instance in chapter three, a generalization of Jantzen filtration is reformulated in an algebraic manner, and geometric interpretation is provided. Statements, widely believed to be true, are collated, and results which are known but not verified are proven, such as the corrected structure theorem of Fock modules in chapter eight. This book will be of interest to a wide range of mathematicians and physicists from the level of graduate students to researchers.

Download or read book Plasma Kinetics in Atmospheric Gases written by M. Capitelli and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasis is placed on the analysis of translational, rotational, vibrational and electronically excited state kinetics, coupled to the electron Boltzmann equation.