Finite and infinite product transformations
Classical Analysis and ODEs
2020-01-03 v2
Abstract
Several infinite products are studied that satisfy the transformation relation of the type . For certain values of the parameters these infinite products reduce to modular forms. Finite counterparts of these infinite products are motivated by solution of Dirichlet boundary problem on a rectangular grid. These finite product formulas give an elementary proof of several modular transformations.
Cite
@article{arxiv.1712.06097,
title = {Finite and infinite product transformations},
author = {Martin Nicholson},
journal= {arXiv preprint arXiv:1712.06097},
year = {2020}
}
Comments
12 pages. Presentation and notation improved, 6 new theorems added, typos corrected, more details added in abstract