Entire slice regular functions. (2016)

• Record Type: Book
• Further Information: Note: Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
• Other Names: Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C
• Contents: 1 Introduction; 2 Slice Regular Functions: Algebra; 2.1 Definition and Main Results; 2.2 The Representation Formula; 2.3 Multiplication of Slice Regular Functions; 2.4 Quaternionic Intrinsic Functions; 2.5 Composition of Power Series; 3 Slice Regular Functions: Analysis; 3.1 Some Integral Formulas; 3.2 Riemann Mapping Theorem; 3.3 Zeros of Slice Regular Functions; 3.4 Modulus of a Slice Regular Function and Ehrenpreis -- Malgrange Lemma; 3.5 Cartan Theorem; 4 Slice Regular Infinite Products; 4.1 Infinite Products of Quaternions; 4.2 Infinite Products of Functions. 4.3 Weierstrass Factorization Theorem4.4 Blaschke Products; 5 Growth of Entire Slice Regular Functions; 5.1 Growth Scale; 5.2 Jensen Theorem; 5.3 Carathéodory Theorem; 5.4 Growth of the -Product of Entire Slice Regular Functions; 5.5 Almost Universal Entire Functions; 5.6 Entire Slice Regular Functions of Exponential Type; References; Index.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 515/.9; 510; Mathematics; Functions of complex variables; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Functions of complex variables; Mathematics; Complex analysis, complex variables; Electronic books
• Languages: English
• ISBNs: 9783319492650; 3319492659
• Related ISBNs: 3319492640; 9783319492643
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.