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

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

VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES Ken Ono Appearing in Trans. Amer. Math. Soc. In celebration of Aspen’s birth. Abstract. Let p be prime and let GF (p) be the finite field with p elements. In this note we

Source URL: www.mathcs.emory.edu

A GAUSSIAN HYPERGEOMETRIC SERIES ´ EVALUATION AND APERY NUMBER CONGRUENCES Scott Ahlgren and Ken Ono

Source URL: www.mathcs.emory.edu

SUPERSINGULAR j-INVARIANTS, HYPERGEOMETRIC SERIES, AND ATKIN’S ORTHOGONAL POLYNOMIALS M. Kaneko and D. Zagier §1. Introduction. An elliptic curve E over a field K of characteristic p > 0 is called supersingular

Source URL: people.mpim-bonn.mpg.de

International Mathematics Series www.vedavyasa.net CONTENTS (vii)

Source URL: www.vedavyasa.net

• Mathematics
• Laguerre polynomials
• Hermite polynomials
• Confluent hypergeometric function
• Chebyshev polynomials
• Hypergeometric function
• Bessel function
• Classical orthogonal polynomials
• Q-Laguerre polynomials
• Special functions
• Mathematical analysis
• Orthogonal polynomials

GENERAL ⎜ ARTICLE How to Discover the Rogers–Ramanujan Identities Gaurav Bhatnagar We examine a method to conjecture two very

Source URL: www.ias.ac.in

• Combinatorics
• Modular forms
• Srinivasa Ramanujan
• Mathematical identities
• Hypergeometric functions
• Basic hypergeometric series
• Rogers–Ramanujan identities
• Rogers–Ramanujan continued fraction
• Continued fraction
• Mathematics
• Mathematical analysis
• Q-analogs

A Multisection of q-Series Michael Somos 06 Sepdraft version

Source URL: grail.cba.csuohio.edu

• Combinatorics
• Srinivasa Ramanujan
• Modular forms
• Hypergeometric functions
• Mathematical identities
• Ramanujan theta function
• Rogers–Ramanujan continued fraction
• Basic hypergeometric series
• Rogers–Ramanujan identities
• Q-analogs
• Mathematical analysis
• Mathematics