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#### Partitions, q-Series, and Modular Forms

Springer New York 2011; US$ 149.00This unique volume describes recent progress in the fields of q-hypergeometric series, partitions, and modular forms and their relation to number theory, combinatorics, and special functions. It grew out of a conference at the University of Florida. more...

#### Quadratic and Higher Degree Forms

Springer New York 2013; US$ 109.00In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Winter School. The volume also includes papers from the two focused weeks on quadratic forms and integral... more...

#### Computer Algebra in Quantum Field Theory

Springer Vienna 2013; US$ 179.00This book focuses on advanced computer algebra methods and special functions that have applications in quantum field theory. It presents new methods for (infinite) multiple sums, multiple integrals, difference and differential equations. more...

#### 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...

#### Theory of Hypergeometric Functions

Springer Japan 2011; US$ 149.00This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. It shows that hypergeometric integrals generally satisfy holonomic system of linear differential equations. more...

#### Bernoulli Numbers and Zeta Functions

Springer Japan 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...