Geodesic
MOCK THETA DOUBLE SUMS
Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 323-348

Voir la notice de l'article provenant de la source Cambridge

DOI

We prove a general result on Bailey pairs and show that two Bailey pairs of Bringmann and Kane are special cases. We also show how to use a change of base formula to pass from the pairs of Bringmann and Kane to pairs used by Andrews in his study of Ramanujan's seventh order mock theta functions. We derive several more Bailey pairs of a similar type and use these to construct a number of new q-hypergeometric double sums which are mock theta functions. Finally, we prove identities between some of these mock theta double sums and classical mock theta functions. 
LOVEJOY, JEREMY; OSBURN, ROBERT. MOCK THETA DOUBLE SUMS. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 323-348. doi: 10.1017/S0017089516000197
@article{10_1017_S0017089516000197,
     author = {LOVEJOY, JEREMY and OSBURN, ROBERT},
     title = {MOCK {THETA} {DOUBLE} {SUMS}},
     journal = {Glasgow mathematical journal},
     pages = {323--348},
     year = {2017},
     volume = {59},
     number = {2},
     doi = {10.1017/S0017089516000197},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000197/}
}
TY  - JOUR
AU  - LOVEJOY, JEREMY
AU  - OSBURN, ROBERT
TI  - MOCK THETA DOUBLE SUMS
JO  - Glasgow mathematical journal
PY  - 2017
SP  - 323
EP  - 348
VL  - 59
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000197/
DO  - 10.1017/S0017089516000197
ID  - 10_1017_S0017089516000197
ER  - 
%0 Journal Article
%A LOVEJOY, JEREMY
%A OSBURN, ROBERT
%T MOCK THETA DOUBLE SUMS
%J Glasgow mathematical journal
%D 2017
%P 323-348
%V 59
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000197/
%R 10.1017/S0017089516000197
%F 10_1017_S0017089516000197

Cité par Sources :