On relationships between $q$-products identities, $R_\alpha$, $R_\beta$ and $R_m$ functions related to Jacobi’s triple-product identity
Mathematica Moravica, Tome 24 (2020) no. 2.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The authors establish a set of two new relationships involving $q$-product identities, $R_\alpha$, $R_\beta$ and $R_m$ (m = 1; 2; 3, ...) functions; and answer a open question of Srivastava et al. [18]. The present work is motivated and based upon recent findings of Chaudhary et al. [8].
Mots-clés :
Theta-function identities, $R_\alpha$, $R_\beta$ and $R_m$, Jacobi’s triple-product identity, $q$-Product identities, Rogers-Ramanujan continued fraction, Rogers-Ramanujan identities.
@article{MM3_2020_24_2_a9, author = {M. P. Chaudhary and Sangeeta Chaudhary}, title = {On relationships between $q$-products identities, $R_\alpha$, $R_\beta$ and $R_m$ functions related to {Jacobi{\textquoteright}s} triple-product identity}, journal = {Mathematica Moravica}, pages = {133 - 144}, publisher = {mathdoc}, volume = {24}, number = {2}, year = {2020}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2020_24_2_a9/} }
TY - JOUR AU - M. P. Chaudhary AU - Sangeeta Chaudhary TI - On relationships between $q$-products identities, $R_\alpha$, $R_\beta$ and $R_m$ functions related to Jacobi’s triple-product identity JO - Mathematica Moravica PY - 2020 SP - 133 EP - 144 VL - 24 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/MM3_2020_24_2_a9/ ID - MM3_2020_24_2_a9 ER -
%0 Journal Article %A M. P. Chaudhary %A Sangeeta Chaudhary %T On relationships between $q$-products identities, $R_\alpha$, $R_\beta$ and $R_m$ functions related to Jacobi’s triple-product identity %J Mathematica Moravica %D 2020 %P 133 - 144 %V 24 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/MM3_2020_24_2_a9/ %F MM3_2020_24_2_a9
M. P. Chaudhary; Sangeeta Chaudhary. On relationships between $q$-products identities, $R_\alpha$, $R_\beta$ and $R_m$ functions related to Jacobi’s triple-product identity. Mathematica Moravica, Tome 24 (2020) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2020_24_2_a9/