Boris Shapiro (12 results)

Hardcover. Condition: Very Good. No Jacket. s4 5¾"x7½"; 160 pages; Pictorial cover; The binding and pages are clean, tight and square. There is no underlining, highlighting or margin notes. A used copy with normal reading wear. If you order multiple titles, I will combine them in order to reduce postage costs. If you have any questions, contact me before ordering for details.

Condition: very good. Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages.

Softcover/Paperback. Condition: Good.

Hardcover. Condition: New.

Hardcover. Condition: new. New Copy. Customer Service Guaranteed.

Condition: New. Satisfaction Guaranteed or your money back.

Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Linear ordinary differential equations with polynomial coefficients and their solutions in the complex plane have been an active area of mathematical research since the mid-19th century, with contributions from such prominent figures as G. Lamé, M. Bôcher, E. Heine, F. Klein, T. Stieltjes, G. D. Birkhoff, and many others. During the 19th century, interest focused mainly on second-order equations because of their importance in physics. The existence of a polynomial solution to a linear differential equation is a very special property, implying in particular the existence of a one-dimensional invariant subspace under the action of the monodromy group on the space of solutions. Polynomial solutions rarely occur for individual linear differential equations, but they typically arise within families of such equations. In this book, we discuss in detail two major topics: exactly solvable linear differential operators, closely related to the Bochner-Krall problem in orthogonal polynomials, and the (generalized) Heine-Stieltjes theory, both of which originated more than a century ago. Our main emphasis is on the study of the root asymptotics of various polynomial sequences appearing in both problems. We also establish connections between our asymptotic analysis and special classes of quadratic and higher-order differentials, as well as other objects of geometric origin. In addition, we present a wealth of numerical results and suggest many open problems for the interested reader.

Hardcover. Condition: Good. In Russian. Shapiro, Boris Moiseevich. Some Problems of Finance of Consumer Societies of the USSR. Vilnius: 1973. All images are for identification of editions only. Several books of the same edition may be available. Please feel free to request photos of available books.SKU7094321.

Hardcover. Condition: Good. In Russian. Shapiro, Boris Mironovich. Organization of work on farms and complexes. Minsk: Uradzhai, 1979 All images are for identification of editions only. Several books of the same edition may be available. Please feel free to request photos of available books.SKU7628491.

Hardcover. Condition: Good. In Russian. Shapiro, Boris Mironovich. Improvement of the organization of work in agriculture in the light of the requirements of the July 1978 Plenum of the Central Committee of the CPSU. Minsk: Znanie of the BSSR, 1979 All images are for identification of editions only. Several books of the same edition may be available. Please feel free to request photos of available books.SKU7628492.

Hardcover. Condition: Good. In Russian. Shapiro, Boris Mironovich. Reserves for efficient use of equipment. Minsk: Urajai, All images are for identification of editions only. Several books of the same edition may be available. Please feel free to request photos of available books.SKU1017984.

Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Linear ordinary differential equations with polynomial coefficients and their solutions in the complex plane have been an active area of mathematical research since the mid-19th century, with contributions from such prominent figures as G. Lamé, M. Bôcher, E. Heine, F. Klein, T. Stieltjes, G. D. Birkhoff, and many others. During the 19th century, interest focused mainly on second-order equations because of their importance in physics. The existence of a polynomial solution to a linear differential equation is a very special property, implying in particular the existence of a one-dimensional invariant subspace under the action of the monodromy group on the space of solutions. Polynomial solutions rarely occur for individual linear differential equations, but they typically arise within families of such equations. In this book, we discuss in detail two major topics: exactly solvable linear differential operators, closely related to the Bochner-Krall problem in orthogonal polynomials, and the (generalized) Heine-Stieltjes theory, both of which originated more than a century ago. Our main emphasis is on the study of the root asymptotics of various polynomial sequences appearing in both problems. We also establish connections between our asymptotic analysis and special classes of quadratic and higher-order differentials, as well as other objects of geometric origin. In addition, we present a wealth of numerical results and suggest many open problems for the interested reader. 322 pp. Englisch.