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Basic Hypergeometric Series

account of the rapidly growing field of basic hypergeometric series, or q-series. Simplicity, clarity, deductive proofs, thoughtfully designed;

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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 Hypergeometric Functions

Slater's treatment leads on from a discussion of the Gauss functions to the basic hypergeometric functions, the hypergeometric integrals, bilateral;

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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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Topics And Methods In Q-series

The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially;

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Topics And Methods In Q-series

The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially;

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Special Functions

series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to;

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Special Functions

series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to;

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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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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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Generalized Associated Legendre Functions And Their Applications

functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions;

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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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Partitions, Hypergeometric Systems, and Dirichlet Processes in Statistics

intersection of three subjects that are generally studied independently of each other: partitions, hypergeometric systems, and Dirichlet processes. The;

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Generalized Hypergeometric Functions

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Generalized Hypergeometric Functions

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The Confluent Hypergeometric Function

The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this;

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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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Sample Size Illustrations, Confidence Intervals, & Margins of Error: Hypergeometric Distribution Tables for Attorneys & Experts

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Sample Size Illustrations, Confidence Intervals, & Margins of Error: Hypergeometric Distribution Tables for Attorneys & Experts

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London Mathematical Society Lecture Note Series

-Jacobi series, expressed in terms of hypergeometric series. Dingle's theory of terminants is then employed to show how the divergences in both;

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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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Q-difference Operators, Orthogonal Polynomials and Symmetric Expansions

to the evaluation of the Askey-Wilson integral and generalizations. We also find expansions of certain generalized basic hypergeometric;

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Encyclopedia of Special Functions

the Askey-Wilson polynomials, which are the most general basic hypergeometric orthogonal polynomials. Separate chapters cover orthogonal;

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A = B

Hypergeometric Database * The Five Basic Algorithms: Sister Celine's Method, Gosper&'s Algorithm, Zeilberger's Algorithm, The WZ Phenomenon, Algorithm;

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A = B

Hypergeometric Database * The Five Basic Algorithms: Sister Celine's Method, Gosper&'s Algorithm, Zeilberger's Algorithm, The WZ Phenomenon, Algorithm;

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A Comprehensive Treatment of q-Calculus

problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually;

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Ordinary Differential Equations

of proofs of basic theorems. First chapters present a rigorous treatment of background material; middle chapters deal in detail with systems;

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