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#### 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 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...

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

Cambridge University Press 2004; US$ 40.00Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. more...

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

World Scientific Publishing Company 1992; US$ 64.00This 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...

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

World Scientific Publishing Company 2009; US$ 74.00Existence 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...

#### H-Transforms

CRC Press 2004; US$ 159.95Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations. more...

#### Handbook of Functional Equations

Springer New York 2014; US$ 149.00As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), ?There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.? On the aesthetic aspects, he said, ?As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed... more...

#### Handbook of Special Functions

CRC Press 2008; US$ 132.95Because 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...