Open AccessTerminating ₂𝐹₁(4)-series perturbed by two integer parameters
Author(s) -
Wenchang Chu
Publication year - 2016
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/13293
Subject(s) - algorithm , computer science , artificial intelligence
By means of generating functions and the linearization method, we establish analytical formulae for a class of terminating 2 F 1 ( 4 ) _2F_1(4) -series perturbed by two integer parameters. Under the Pfaff transformation, these formulae confirm, unexpectedly, a conjecture about evaluation of the 2 F 1 ( − 3 ) _2F_1(-3) -series made by Apagodu and Zeilberger (2008).