Produktbild: Dirichlet Series

Dirichlet Series Principles and Methods

Fr. 110.00

inkl. gesetzl. MwSt., Versandkostenfrei


Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

09.11.2011

Verlag

Springer Netherland

Seitenzahl

176

Maße (L/B/H)

22.3/15.2/0.9 cm

Gewicht

263 g

Auflage

1972

Sprache

Englisch

ISBN

978-94-010-3136-3

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

09.11.2011

Verlag

Springer Netherland

Seitenzahl

176

Maße (L/B/H)

22.3/15.2/0.9 cm

Gewicht

263 g

Auflage

1972

Sprache

Englisch

ISBN

978-94-010-3136-3

Herstelleradresse

Springer Netherlands
Haberstr. 7
69126 Heidelberg
DE
buchhandel-buch@springer.com

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)

  • Produktbild: Dirichlet Series
  • I/Sequences of Exponents and Associated Sequences. Elementary Theorems on the Coefficients and on Convergence.- I.1. Ascending Sequences of Positive Numbers.- I.2. General Properties of Convergence.- I.3. The Calculus of Coefficients and Some Important Combinations of Coefficients.- II/Inequalities Concerning the Coefficients.- II. 1. Inequalities Corresponding to the Arithmetic Character of the Exponents.- II.2. A General Inequality for the Coefficients Corresponding to Finite Upper Density of the Exponents.- III/Theorems of Liouville-Weierstrass-Picard Type of Arithmetical Character and of General Character.- III. 1. Theorems of Arithmetical Type.- III. 2. Liouville-Picard Theorems of General Type.- IV/Singularities of Functions Represented by a Taylor Series.- IV. 1. Singularities of Taylor Series.- V/Composition of Singularities.- V.l. Composition of Hadamard Type and Generalizations.- V.2. Composition of Functions of Slow Growth.- V.3. ‘Fictitious Composition’ of Singularities.- V.4. Composition of Functions of Rapid Growth.- V.5. Composition of ‘Hurwitz Type’.- VI/Some Applications of the Principles for Analytic Continuation.- VI.1. Arithmetic Properties of the Exponents and the Analytic Continuation.- VI.2. Analytic Continuation of General Dirichlet Series.- VI.3. Entire Functions Represented by Dirichlet Series.- VI.4. Some Applications of the Composition Theorems.- VII/On the Behaviour of the Remainders of a Dirichlet Series in the Domain of Existence of the Function. Applications.- VII.1. Evaluation of the Remainders of (A, ?).- VII.2. Applications of the Results of Chapter III and of VI. to Series Meromorphic on an Interval of the Axis of Convergence 124.- VIII/Applications to the Generalized Rie-Mann Functional Equation.- VIII.1. Number of Independent Solutions. Links between Exponents.- IX/Influence of Arithmetical Properties of the Exponents of a Dirichlet Series on its Analytic Continuation.- IX.1. Isolated Fractional Parts of the Exponents and the Possibility of Analytic Continuation.- IX.2. Relations Between Isolation of the Fractional Parts of the Exponents and the Distribution of Singularities.- IX.3. Variation of the Exponents and the Analytic Continuation.- X/Bibliographical Notes.- Note.