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Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions

differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact;

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Generalized Hypergeometric Functions

The theory of generalized hypergeometric functions is fundamental in the field of mathematical physics, since all the commonly used;

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An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

An Introduction to Hypergeometric, Supertigonometric, and Superhyperbolic Functions gives a basic introduction to the newly established;

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Generalized Associated Legendre Functions And Their Applications

, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions Fq, Meijer's G;

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Proofs and Confirmations

. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic;

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Special Functions

. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric;

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Special Functions

. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric;

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Theory and Applications of Special Functions for Scientists and Engineers

hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena;

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Frontiers of Combinatorics & Number Theory

different triangulations; applications of shuffle products of multiple zeta values in combinatorics; the invariant area formulas and lattice point;

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Frontiers of Combinatorics & Number Theory

different triangulations; applications of shuffle products of multiple zeta values in combinatorics; the invariant area formulas and lattice point;

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iSmooth Analysis

distribution theory. i-smooth analysis is the branch of functional analysis that considers the theory and applications of the invariant derivatives;

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Modern Spherical Functions

theory, invariant differential operators, and invariant integral operators play an important role in the exposition. The author treats compact;

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The Confluent Hypergeometric Function

. There is no doubt that this trend will continue until the general theory of confluent hypergeometric functions becomes familiar to the majority;

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An Introduction to Special Functions

Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in higher;

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Special Functions and Orthogonal Polynomials

subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which;

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Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132

The first part of this monograph is devoted to a characterization of hypergeometric-like functions, that is, twists of hypergeometric;

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Special Functions

of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various;

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Basic Hypergeometric Series

exercises, and useful appendices are among its strengths. The first five chapters cover basic hypergeometric series and integrals, whilst the next;

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Basic Hypergeometric Series and Applications

The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian;

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Partition Functions and Automorphic Forms

forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition;

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Partition Functions and Automorphic Forms

forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition;

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Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

includes background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric;

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Polyhedra

cast in a new light by combinatorics and group theory. This book comprehensively documents the many and varied ways that polyhedra have come to;

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Function Theory of Several Complex Variables

, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics;

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Handbook of Special Functions

discusses formulas of connection and conversion for elementary and special functions, such as hypergeometric and Meijer G functions.;

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