ENGLISH

Encyclopedia of Special Functions: The Askey-Bateman Project - Volume 2. Multivariable Special Functions

By Tom H. Koornwinder (editor) , Jasper V. Stokman (editor)

Book information

Publisher
Cambridge University Press
Year
2020
ISBN
1107003733, 9781107003736
Language
english
Format
PDF
Filesize
5 MB (4754840 bytes)
Series
Encyclopedia of Special Functions: The Askey-Bateman Project 3 Hardback Books
Edition
1
Pages
434\441
Time added
2023-01-06 23:20:12

Description

This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 2 covers multivariable special functions. When the Bateman project appeared, study of these was in an early stage, but revolutionary developments began to be made in the 1980s and have continued ever since. World-renowned experts survey these over the course of 12 chapters, each containing an extensive bibliography. The reader encounters different perspectives on a wide range of topics, from Dunkl theory, to Macdonald theory, to the various deep generalizations of classical hypergeometric functions to the several variables case, including the elliptic level. Particular attention is paid to the close relation of the subject with Lie theory, geometry, mathematical physics and combinatorics. 01.0_pp_i_iv_Frontmatter 02.0_pp_v_viii_Contents 03.0_pp_ix_x_List_of_Contributors 04.0_pp_xi_xii_Preface 05.0_pp_1_18_General_Overview_of_Multivariable_Special_Functions 06.0_pp_19_78_Orthogonal_Polynomials_of_Several_Variables 07.0_pp_79_100_Appell_and_Lauricella_Hypergeometric_Functions 08.0_pp_101_121_A-Hypergeometric_Functions 09.0_pp_122_158_Hypergeometric_and_Basic_Hypergeometric_Series_and_Integrals_Associated_with_Root_Systems 10.0_pp_159_186_Elliptic_Hypergeometric_Functions_Associated_with_Root_Systems 11.0_pp_187_216_Dunkl_Operators_and_Related_Special_Functions 12.0_pp_217_257_Jacobi_Polynomials_and_Hypergeometric_Functions_Associated_with_Root_Systems 13.0_pp_258_313_MacdonaldKoornwinder_Polynomials 14.0_pp_314_367_Combinatorial_Aspects_of_Macdonald_and_Related_Polynomials 15.0_pp_368_401_KnizhnikZamolodchikov-Type_Equations_Selberg_Integrals_and_Related_Special_Functions 16.0_pp_402_419_9_j-Coefficients_and_Higher 17.0_pp_420_428_Index

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