Introduction to Basic Fourier Series

Name: Introduction to Basic Fourier Series
Price: 169.17 USD
Availability: InStock
ISBN: 9781402012211

ISBN-10: 1402012217

ISBN-13: 9781402012211

Edition: 2003

Authors: Sergei K. Suslov

List price: $169.99

30 day, 100% satisfaction guarantee!

Marketplace

1 new & used from $169.17

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

This is an introductory volume on a novel theory of basic Fourier series, a new interesting research area in classical analysis and q -series. This research utilizes approximation theory, orthogonal polynomials, analytic functions, and numerical methods to study the branch of q -special functions dealing with basic analogs of Fourier series and its applications. This theory has interesting applications and connections to general orthogonal basic hypergeometric functions, a q -analog of zeta function, and, possibly, quantum groups and mathematical physics. Audience: Researchers and graduate students interested in recent developments in q -special functions and their applications.

Book details

List price: $169.99
Copyright year: 2003
Publisher: Springer
Publication date: 3/31/2003
Binding: Hardcover
Pages: 372
Size: 6.14" wide x 9.21" long x 1.00" tall
Weight: 3.520
Language: English



Foreword


Preface



Introduction



Basic Exponential and Trigonometric Functions



Addition Theorems



Some Expansions and Integrals



Introduction of Basic Fourier Series



Investigation of Basic Fourier Series



Completeness of Basic Trigonometric Systems



Improved Asymptotics of Zeros



Some Expansions in Basic Fourier Series



Basic Bernoulli and Euler Polynomials and Numbers and q-Zeta Function



Numerical Investigation of Basic Fourier Series



Suggestions for Further Work



Selected Summation and Transformation Formulas and Integrals



Basic Hypergeometric Series



Selected Summation Formulas



Selected Transformation Formulas



Some Basic Integrals



Some Theorems of Complex Analysis



Entire Functions



Lagrange Inversion Formula



Dirichlet Series



Asymptotics



Tables of Zeros of Basic Sine and Cosine Functions



Numerical Examples of Improved Asymptotics



Numerical Examples of Euler-Rayleigh Method



Numerical Examples of Lower and Upper Bounds


Bibliography


Index