Asymptotic Estimates and Entire Functions

Asymptotic Estimates and Entire Functions PDF Author: M.A. Evgrafov
Publisher: Courier Dover Publications
ISBN: 0486842355
Category : Mathematics
Languages : en
Pages : 194

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Book Description
This three-chapter treatment introduces principal methods, discusses the theory of entire functions of finite order, and applies the first chapter's methods to the functions of the second chapter. 1961 edition.

The Concrete Tetrahedron

The Concrete Tetrahedron PDF Author: Manuel Kauers
Publisher: Springer Science & Business Media
ISBN: 3709104459
Category : Mathematics
Languages : en
Pages : 209

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Book Description
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates. Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.

Distribution of Zeros of Entire Functions

Distribution of Zeros of Entire Functions PDF Author: Boris I_Akovlevich Levin
Publisher: American Mathematical Soc.
ISBN: 0821845055
Category : Mathematics
Languages : en
Pages : 542

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Book Description


Holomorphic Dynamical Systems

Holomorphic Dynamical Systems PDF Author: Nessim Sibony
Publisher: Springer Science & Business Media
ISBN: 3642131700
Category : Mathematics
Languages : en
Pages : 357

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Book Description
The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.

TEORIJA ?ISEL, MATEMATI?ESKIJ ANALIZ I ICH PRILOŽENIJA

TEORIJA ?ISEL, MATEMATI?ESKIJ ANALIZ I ICH PRILOŽENIJA PDF Author: Ivan Matveevich Vinogradov
Publisher: American Mathematical Soc.
ISBN: 9780821830765
Category : Mathematics
Languages : en
Pages : 260

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Book Description


Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937935
Category : Mathematics
Languages : en
Pages : 952

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Book Description


Basic Theory

Basic Theory PDF Author: Anatoly Kochubei
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110571625
Category : Mathematics
Languages : en
Pages : 490

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Book Description
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Eight Papers on Differential Equations and Functional Analysis

Eight Papers on Differential Equations and Functional Analysis PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821896358
Category : Differential equations
Languages : en
Pages : 304

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Book Description


Mittag-Leffler Functions, Related Topics and Applications

Mittag-Leffler Functions, Related Topics and Applications PDF Author: Rudolf Gorenflo
Publisher: Springer
ISBN: 3662439301
Category : Mathematics
Languages : en
Pages : 454

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Book Description
As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.

Handbook of Combinatorics

Handbook of Combinatorics PDF Author: R.L. Graham
Publisher: Elsevier
ISBN: 044488002X
Category : Business & Economics
Languages : en
Pages : 1283

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Book Description