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#### Asymptotics and Special Functions

Elsevier Science 2014; US$ 93.95Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations... more...

#### Automorphic Forms And Shimura Varieties Of Pgsp(2)

World Scientific Publishing Company 2005; US$ 175.00The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations... more...

#### Automorphic Forms and Geometry of Arithmetic Varieties

Elsevier Science 2014; US$ 93.95Automorphic Forms and Geometry of Arithmetic Varieties deals with the dimension formulas of various automorphic forms and the geometry of arithmetic varieties. The relation between two fundamental methods of obtaining dimension formulas (for cusp forms), the Selberg trace formula and the index theorem (Riemann-Roch's theorem and the Lefschetz fixed... more...

#### Basic Hypergeometric Series

Cambridge University Press 2004; US$ 168.00Significant revision of classic reference in special functions. 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...

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

Cambridge University Press 1977; US$ 40.00Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. more...

#### Data-Variant Kernel Analysis

Wiley 2015; US$ 130.00Describes and discusses the variants of kernel analysis methods for data types that have been intensely studied in recent years This book covers kernel analysis topics ranging from the fundamental theory of kernel functions to its applications. The book surveys the current status, popular trends, and developments in kernel analysis studies. The... 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...