8 Jacobi polynomials and hypergeometric functions associated with root systems Gert Heckman and Eric Opdam 8.1 The Gauss hypergeometric function

Source URL: www.math.ru.nl

meijerG, a package for simplification of Meijer’s G function Victor S. Adamchik Wolfram Research Inc. former address : Byelorussian University, Minsk, Byelorussia

Source URL: reduce-algebra.com

• Mathematical analysis
• Mathematics
• Special functions
• Hypergeometric functions
• Ordinary differential equations
• Mathematical series
• Meijer G-function
• Bessel function
• Inverse trigonometric functions

Another Look at the Dwork Family Nicholas M. Katz Princeton University, Mathematics, Fine Hall, NJ, USA dedicated to Yuri Manin on his seventieth birthday

Source URL: web.math.princeton.edu

• Abstract algebra
• Algebra
• Mathematics
• Ordinary differential equations
• Algebraic geometry
• Vector bundles
• Mathematical series
• Algebraic topology
• Sheaf
• Ample line bundle
• Cohomology
• Hypergeometric function

FROM CLAUSEN TO CARLITZ: LOW-DIMENSIONAL SPIN GROUPS AND IDENTITIES AMONG CHARACTER SUMS NICHOLAS M. KATZ Dedicated to Pierre Deligne, with the utmost admiration

Source URL: web.math.princeton.edu

• Mathematics
• Mathematical analysis
• Algebra
• Ordinary differential equations
• Algebraic topology
• Sheaf
• Kloosterman sum
• Hypergeometric function
• Cohomology
• Lie groups
• Linear temporal logic
• Differential forms on a Riemann surface

Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions Erdal Imamoglu & Mark van Hoeij Florida State University Department of Mathematics

Source URL: www.issac-symposium.org

• Mathematical analysis
• Calculus
• Ordinary differential equations
• Mathematics
• Operator theory
• Mathematical series
• Differential equations
• Multivariable calculus
• Hypergeometric function
• Linear differential equation
• Differential operator
• Regular singular point

ANOTHER LOOK AT THE DWORK FAMILY NICHOLAS M. KATZ dedicated to Yuri Manin on his seventieth birthday 1. Introduction and a bit of history After proving [Dw-Rat] the rationality of zeta functions of all algebraic varietie

Source URL: web.math.princeton.edu

• Ordinary differential equations
• Mathematical series
• Algebraic geometry
• Vector bundles
• Algebraic topology
• Sheaf
• Hypergeometric function
• Generalized hypergeometric function
• Divisor
• Cohomology
• Ample line bundle
• Proj construction

Automatic expansion of C-fractions for solutions of Riccati equations via Guessing and Proving. The examples from Cuyt et alii., Handbook of Continued Fractions for Special Functions. Maulat & Salvy

Source URL: www.issac-symposium.org

• Hypergeometric function
• Complex analysis
• Combinatorics
• Operator theory

Formal Solutions of Linear Differential Systems with Essential Singularities in their Coefficients Thomas Cluzeau University of Limoges ; CNRS ; XLIM (France) Joint work with M. A. Barkatou and A. Jalouli

Source URL: www.issac-symposium.org

• Complex analysis
• Ordinary differential equations
• Operator theory
• Meromorphic functions
• Partial differential equations
• Complex number
• Singularity
• Essential singularity
• Movable singularity
• Pole
• Residue
• Confluent hypergeometric function

GAMES AND ECONOMIC BEHAVIOR ARTICLE NO. 14, 247–

Source URL: www.maths.lse.ac.uk

• Mathematical analysis
• Mathematics
• Algebra
• Linear algebra
• Linear complementarity problem
• Mathematical optimization
• Simplex algorithm
• Exponentiation
• SturmLiouville theory
• Hypergeometric function

NumGfun: a Package for Numerical and Analytic Computation with D-finite Functions Marc Mezzarobba Algorithms Project-Team, INRIA Paris-Rocquencourt, France

Source URL: www.marc.mezzarobba.net

• Mathematics
• Mathematical analysis
• Combinatorics
• Factorial
• Hypergeometric function
• Recurrence relation
• Exponentiation
• Generating function
• Bessel function
• Logarithm
• Analytic combinatorics
• Equation solving