Keyword

generating functions

Description: Formal power series whose coefficients encode sequences, used in combinatorics and other areas of mathematics to study their properties.

Primary topic: Advanced Combinatorial Mathematics (26%)

Wikidata ID: wiki/Q860609

OpenAlex ID: keywords/generating-functions

Enumerative Combinatorics

1997 · Richard P. Stanley, Gian-Carlo Rota · Cambridge University Press eBooks · 6,025

Basic Hypergeometric Series

2004 · George Gasper, Mizan Rahman · Cambridge University Press eBooks · 3,609

The Theory of Partitions

1984 · George E. Andrews · Cambridge University Press eBooks · 2,992

Fundamentals of Queueing Theory.

1977 · Roger H. Moore, Donald Gross, et al. · Journal of the American Statistical Association · 2,930

Probability and Random Processes

2004 · Grimmett, Geoffrey 1950-, Stirzaker, David · Elsevier eBooks · 2,535

Concrete Mathematics: A Foundation for Computer Science

1989 · Ronald L. Graham, Donald E. Knuth, et al. · Computers in Physics · 2,405

- Analytic combinatorics

2015 · Miklos Bona · Chapman & Hall/CRC eBooks · 2,245

Enumerative Combinatorics

1999 · Richard P. Stanley, Sergey Fomin · Cambridge University Press eBooks · 2,197

Analytic Combinatorics

2009 · Philippe Flajolet, Robert Sedgewick · Cambridge University Press eBooks · 2,132

Large-scale structure of the Universe and cosmological perturbation theory

2002 · F. Bernardeau, S. Colombi, et al. · Physics Reports · 1,921

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Algebraic Combinatorics on Words

2002 · M. Lothaire · Cambridge University Press eBooks · 1,743

Enumerative Combinatorics

1986 · Richard P. Stanley · Springer eBooks · 1,636

Concrete Mathematics: A Foundation for Computer Science.

1991 · Edward A. Bender, Ronald Lewis Graham, et al. · American Mathematical Monthly · 1,366

Introduction to Probability

2003 · Pharmaceutical Statistics · 1,208

The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

1996 · Koekoek, Roelof, Swarttouw, René F. · arXiv (Cornell University) · 1,206

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A Treatise on Generating Functions.

1986 · A. W. Kemp, H. M. Srivastava, et al. · Journal of the Royal Statistical Society Series D (The Statistician) · 1,195

Asymptotic Formulaae in Combinatory Analysis

1918 · G. H. Hardy, S. Ramanujan · Proceedings of the London Mathematical Society · 1,053

A First Course in Stochastic Models

2003 · Henk C. Tijms · Wiley eBooks · 1,046

Canonical transformations depending on a small parameter

1969 · Andr� Deprit · Celestial Mechanics and Dynamical Astronomy · 997

Enumerative Combinatorics: Volume 1

2011 · Richard P. Stanley · 984

An exact recursion for the composite nearest-neighbor degeneracy for a 2× N lattice space

1984 · R. B. McQuistan, J. L. Hock · Journal of Mathematical Physics · 924

Advanced Combinatorics: The Art of Finite and Infinite Expansions

1974 · Louis Comtet, J.W. Nienhuys · CERN Document Server (European Organization for Nuclear Research) · 883

The Art of Computer Programming, Vol. 2

1981 · Donald E. Knuth · Medical Entomology and Zoology · 859

On the Generalized "Birth-and-Death" Process

1948 · David G. Kendall · The Annals of Mathematical Statistics · 855

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Singularity Analysis of Generating Functions

1990 · Philippe Flajolet, Andrew Odlyzko · SIAM Journal on Discrete Mathematics · 822

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Works count: 21,520

Citation count: 264,600