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#### Polaritons in Periodic and Quasiperiodic Structures

Elsevier Science 2004; US$ 175.00In recent years there have been exciting developments in techniques for producing multilayered structures of different materials, often with thicknesses as small as only a few atomic layers. These artificial structures, known as superlattices, can either be grown with the layers stacked in an alternating fashion (the periodic case) or according to... more...

#### Special Functions

Cambridge University Press 1999; US$ 64.00An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series. more...

#### Special Functions of Mathematics for Engineers

SPIE 2005; US$ 78.00Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum mechanics. This text systematically introduces... more...

#### Zeta Functions, Topology and Quantum Physics

Springer 2008; US$ 209.00Focuses on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, L-functions, polylogarithms, and their interplay with other disciplines. Each article starts with an introductory survey leading to the research developments accomplished by the contributors. more...

#### Theory of Hypergeometric Functions

Springer 2011; US$ 149.00This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown... more...

#### Bernoulli Numbers and Zeta Functions

Springer 2014; US$ 109.00Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers. The real reason that they are indispensable for number theory, however, lies in the fact that special... more...

#### Families of Automorphic Forms

Springer 2009; US$ 49.99This book gives a systematic treatment of real analytic automorphic forms on the upper half plane for general confinite discrete subgroups. These automorphic forms are allowed to have exponential growth at the cusps and singularities at other points as well. It is shown that the Poincaré series and Eisenstein series occur in families of automorphic... more...

#### Handbook of Special Functions

CRC Press 2008; US$ 132.95The Derivatives. Limits. Indefinite Integrals. Definite Integrals. Infinite Series. The Connection Formulas. Representations of Hypergeometric Functions and the Meijer G Function. more...

#### Forms Of Fermat Equations And Their Zeta Functions

World Scientific Publishing Company 2004; US$ 154.00In this volume, an abstract theory of â??formsâ?? is developed, thus providing a conceptually satisfying framework for the classification of forms of Fermat equations. The classical results on diagonal forms are extended to the broader class of all forms of Fermat varieties. more...