Some $q$-identities related to the theta functions.

Leonard Carlitz

Some $q$ -identities related to the theta functions.

Leonard Carlitz

Bollettino dell'Unione Matematica Italiana (1962)

Volume: 17, Issue: 2, page 172-178
ISSN: 0392-4041

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Carlitz, Leonard. "Some $q$-identities related to the theta functions.." Bollettino dell'Unione Matematica Italiana 17.2 (1962): 172-178. <http://eudml.org/doc/195860>.

@article{Carlitz1962,
author = {Carlitz, Leonard},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {modular functions, automorphic functions, almost periodic functions},
language = {eng},
month = {6},
number = {2},
pages = {172-178},
publisher = {Zanichelli},
title = {Some $q$-identities related to the theta functions.},
url = {http://eudml.org/doc/195860},
volume = {17},
year = {1962},
}

TY - JOUR
AU - Carlitz, Leonard
TI - Some $q$-identities related to the theta functions.
JO - Bollettino dell'Unione Matematica Italiana
DA - 1962/6//
PB - Zanichelli
VL - 17
IS - 2
SP - 172
EP - 178
LA - eng
KW - modular functions, automorphic functions, almost periodic functions
UR - http://eudml.org/doc/195860
ER -

References

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GARLITZ, L., Some formulas related to the Rogers-Ramanujan identities, «Annali di Matematica pura ed applicata», (4), vol. 47 (1959), pag. 243-251. Zbl0117.28902 MR110836
HAHN, W., Beiträge zur Theorie der Heineschen Reihen, «Mathematische Nachrichten», vol. 2 (1949). pp. 340-379. Zbl0033.05703 MR35344
JACKSON, F. H., The application of basic numbers to Bessel's and Legendre's functions (first paper), «Proceedings of the London Mathematical Society», (2), vol. 2 (1905), pp. 192-220. JFM35.0487.02
JACKSON, F. H., The application of basic numbers to Bessel's and Legendre's functions (second paper), «Proceedings of the London Mathematical Society», (2), vol. 3 (1905), pp. 1-23. JFM35.0487.02
WHITTAKER, E. T. and WATSON, G. N., Modem analysis, 4th edition, Cambrigde, 1927.

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