Polynomial Solutions of Linear Differential Equations | Spectral Problems, Asymptotic and WKB-Analysis
Lingua: inglese
Editore: Walter de Gruyter, 2026
- Rilegato
- Nuovo

Da: preigu, Osnabrück, Germaniapreigu
Venditore AbeBooks dal 5 agosto 2024
Condizione: Nuovo
EUR 125,75
Quantità: 1 disponibili
Aggiungi al carrelloDescrizione dell’articolo da parte del venditore
Polynomial Solutions of Linear Differential Equations | Spectral Problems, Asymptotic and WKB-Analysis | Boris Shapiro | Buch | De Gruyter Expositions in Mathematics | X | Englisch | 2026 | Walter de Gruyter | EAN 9783119147101 | Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu.
Codice articolo 135795182
- Titolo
- Polynomial Solutions of Linear Differential Equations | Spectral Problems, Asymptotic and WKB-Analysis
- Autore
- Boris Shapiro
- Editore
- Walter de Gruyter
- Anno di pubblicazione
- 2026
- Condizione
- Neu
- Rilegatura
- Buch
- Lingua
- inglese
- ISBN 10
- 3119147109
- ISBN 13
- 9783119147101
- Peso dell'articolo
- 680 grammi
- Dimensioni
- 241 x 176 x 22 mm
- Cataloghi dei venditori
- Bücher
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.
"Riassunto" può appartenere a un’altra edizione di questo titolo.
Informazioni sull’autore
Prof. B.Shapiro has been working in Stockholm University since 1991. He has published around 130 articles in various areas of mathematics, mainly in differential equations, topology and commutative algebra. One of his (joint) achievements is the formulation of the so-called Shapiro-Shapiro conjecture in real Schubert calculus which has been later settled by Mukhin-Tarasov-Varchenko. Another is his finding of a very intriguing, but completely forgotten conjecture on the number of equilibrium points for systems of point charges in 3-dimensional space due to J.C.Maxwell which was published in his book “A Treatise on Electricity and Magnetism” in 1873.
Prof. B.Shapiro is a permanent recipient of research grants from the Swedish Science Foundation and served as an advisor for 12 doctoral students.
"Descrizione articolo" può appartenere a un’altra edizione di questo titolo.
preigu
Osnabrück, Germania
Venditore AbeBooks dal 5 agosto 2024
Tariffe di spedizione da Germania a U.S.A.
| Articolo | Da 60 a 60 giorni lavorativi | Da 60 a 60 giorni lavorativi |
|---|---|---|
| Primo articolo | EUR 70,00 | EUR 70,00 |
Metodi di pagamento
- PayPal
Descrizione dello Store
preigu betreibt einen Onlineversandhandel mit über 1 Mio. Produkten in verschiedenen Sortimenten. Das Kernsortiment besteht aus Büchern, Medien und Spielwaren. Ein gelungenes Einkaufserlebnis ist das Ziel einer jeden Bestellung bei preigu, denn der Kunde und seine Zufriedenheit stehen an erster Stelle. preigu setzt daher auf einen kompetenten Kundenservice, funktionierende Prozesse und schnelle Reaktion.
Specializzazione
Bücher, SpielwarenInformazioni sull’azienda del venditore
preigu GmbH & Co. KG
Lengericher Landstraße 19
Osnabrück, Germania 49078
Condizioni di vendita
About Us
Legal website operator identification:
preigu GmbH & Co. KG
Lengericher Landstr. 19
49078 Osnabrück
Germany
Telephone: +49 (0) 541 / 580 72 84
Email: mail@preigu.de
VAT No: DE 455 380 498
AG Osnabrück - HRA 209647
PhG: preigu Verwaltung GmbH
AG Osnabrück - HRB 221793
CEO: Ansas Meyer
We are neither willing nor obliged to participate in dispute resolution proceedings before consumer arbitration boards.
We are a member of the initiative "FairCommerce" since 30.11.2016.
For more information, see: https://www.haendlerbund.de/de/haendlerbund/interessenvertretung/faircommerce
Diritto di recesso
Instructions for revocation
Right of withdrawal for the sale of goods
Revocation right for consumers
(A ‘consumer' is any natural person who concludes a legal transaction which, to an overwhelming extent, cannot be attributed to either his commercial or independent professional activities.)
Instructions for revocation
Revocation right
You have the right to revoke this contract within 14 days without specifying any reasons.
The revocation period is 14 days with effect from the day,
-
on which you or a third party nominated by you, which is not the carrier, had taken possession of the products, provided you had ordered one or more products within the scope of a standard order and this/these product/products is/are delivered uniformly;
-
on which you or a third party nominated by you, which is not the carrier, had taken possession of the last product, provided you had ordered several products within the scope of a standard order and these products are delivered separately;
-
on which you or a third party nominated by you, which is not the carrier, had taken possession of the last part delivery or the last unit, provided you had ordered a product, which is delivered in several part deliveries or units;
To exercise your right of withdrawal, you must inform us (preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, Telephone number: +49 (0) 541 / 580 72 84, E-Mail address: mail@preigu.de) by means of a clear declaration (e.g. a letter sent by post, or an e-mail) of your decision to withdraw from this contract. You can use the attached model withdrawal form for this purpose, which is, however, not mandatory.
You can also exercise your right of withdrawal online by clicking on a button labelled accordingly (such as ‘Withdraw from contract' or similar) on the AbeBooks/ZVAB website. If you use this online function, you will immediately receive a confirmation of receipt on a durable medium (e.g. via email) containing information on the content of the withdrawal notice, as well as the date and time of its receipt.
In order to safeguard the revocation period, it is sufficient that you send the notification about the exercise of the revocation right before the expiry of the revocation period.
Consequences of the revocation
If you revoke this contract, we shall repay all the payments, which we received from you, including the delivery costs (with the exception of additional costs, which arise from that fact that you selected a form of delivery other than the most reasonable standard delivery offered by us), immediately and at the latest within 14 days from the day on which we received the notification about the revocation of this contract from you. We use the same means of payment, which you had originally used during the original transaction, for this repayment unless expressly agreed otherwise with you; you will not be charged any fees owing to this repayment.
We can refuse the repayment until the products are returned to us or until you have furnished evidence that you have sent the products back to us, depending on whichever is earlier.
You must return or transfer the products to us immediately and, in any case, at the latest within 14 days with effect from the day on which you inform us of the revocation of this contract. The deadline is maintained if you send the products before the expiry of the 14 day deadline.
You bear the direct costs for returning the products.
You must pay for any depreciation of the products only if this depreciation can be attributed to any handling with you that was not necessary for checking the condition, features and functionality of the products.
Criteria for exclusion or expiry
The revocation right is not available for contracts
-
for delivery of products, which are not prefabricated and for whose manufacturing an individual selection or stipulation by the consumer is important or which are clearly tailored to the personal requirements of the consumer;
-
for delivery of products, which can spoil quickly or whose use-by date would be exceeded quickly;
-
for delivery of alcoholic drinks, whose price was agreed at the time of concluding the contract, which however can be delivered 30 days after the conclusion of the contract at the earliest and whose current value depends on the fluctuations in the market, on which the entrepreneur has no influence;
-
for delivery of newspapers, periodicals or magazines with the exception of subscription contracts. The revocation right expires prematurely in case of contracts
-
for delivery of sealed products, which are not suitable for return for reasons of health protection or hygiene if their seal has been removed after the delivery;
-
for delivery of products if they have been mixed inseparably with other goods after the delivery, owing to their condition;
-
for delivery of sound or video recording or computer software in a sealed package if the seal has been removed after the delivery.
Specimen - revocation form
(If you wish to revoke the contract, please fill up this form and send it back to us.)
-
To preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, Email address: mail@preigu.de :
-
I/we () herewith revoke the contract concluded by me/ us () regarding the purchase of the following products ()/
the provision of the following service () -
Ordered on ()/ received on ()
-
Name of the consumer(s)
-
Address of the consumer(s)
-
Signature of the consumer(s) (only in case of a notification on paper)
-
Date
(*) Cross out the incorrect option.