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#### Handbook of Special Functions

Taylor and Francis 2012; US$ 125.95Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in... 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...

#### Dual Sets of Envelopes and Characteristic Regions of Quasi-Polynomials

World Scientific Publishing Company 2009; US$ 127.00Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In... more...

#### Zeta Functions over Zeros of Zeta Functions

Springer 2009; US$ 49.95The famous zeros of the Riemann zeta function and its generalizations (L-functions, Dedekind and Selberg zeta functions) are analyzed through several zeta functions built over those zeros. These 'second-generation' zeta functions have surprisingly many explicit, yet largely unnoticed properties, which are surveyed here in an accessible and... more...

#### Completeness and Basis Properties of Sets of Special Functions

Cambridge University Press 1977; US$ 36.00Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. 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...

#### The Riemann Zeta-Function

De Gruyter 1992; US$ 266.00The Riemann Zeta-Function (De Gruyter Expositions in Mathematics). more...

#### Basic Hypergeometric Series

Cambridge University Press 2004; US$ 158.00Significant revision of classic reference in special functions. more...

#### The Double Mellin-Barnes Type Integrals and Their Application to Convolution Theory

World Scientific Publishing Company 1992; US$ 110.00This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions... more...

#### Multidimensional Hypergeometric Functions the Representation Theory of Lie Algebras and Quantum Groups

World Scientific Publishing Company 1995; US$ 179.00This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the... more...