George E. Andrews

"This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials. The basic building block of the functions studied in this book is the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, a number of important but relatively unknown nineteenth century results are included."--BOOK JACKET. "The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics."--Jacket.

As India is rent into two nations, communal violence breaks out on both sides of the new border and streaming hordes of refugees flee from blood and chaos. At an overrun train station, Shankar and Keshav, twin Hindu boys, lose sight of their mother and join the human mass to go in search of her. A young Sikh girl, Simran Kaur, has run away from her father, who would rather poison his daughter than see her defiled. And Ibrahim Masud, an elderly Muslim doctor driven from the town of his birth, limps toward the new Muslim state of Pakistan, rediscovering on the way his role as a healer. As the displaced face a variety of horrors, this unlikely quartet comes together, defying every rule of self-preservation to forge a future of hope.

This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Séminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998. This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a maple package to deal with general q-calculus. More subjects on algebraic combinatorics are developed, especially the theory of Kostka polynomials, the ice square model, the combinatorial theory of classical numbers, a new approach to determinant calculus.