Ramanujan’s fifth order and tenth order mock theta functions - a generalization
A generalization of Ramanujan’s fifth order and tenth order mock theta functions is given. It is shown that these belong to the family of Fq-functions. Using the properties of Fq-functions, relationship is given between these generalized fifth order mock theta functions of the first group...
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Universidad Católica del Norte, Departamento de Matemáticas
2015
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oai:scielo:S0716-091720150003000062015-09-23Ramanujan’s fifth order and tenth order mock theta functions - a generalizationSrivastava,Bhaskar Mock theta function q-Multibasic expansion q-Integral. A generalization of Ramanujan’s fifth order and tenth order mock theta functions is given. It is shown that these belong to the family of Fq-functions. Using the properties of Fq-functions, relationship is given between these generalized fifth order mock theta functions of the first group with the generalized functions of the second group. The same is done for the generalized functions of the tenth order. q-Integral representation and multibasic expansions are also given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.3 20152015-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300006en10.4067/S0716-09172015000300006 |
institution |
Scielo Chile |
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Scielo Chile |
language |
English |
topic |
Mock theta function q-Multibasic expansion q-Integral. |
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Mock theta function q-Multibasic expansion q-Integral. Srivastava,Bhaskar Ramanujan’s fifth order and tenth order mock theta functions - a generalization |
description |
A generalization of Ramanujan’s fifth order and tenth order mock theta functions is given. It is shown that these belong to the family of Fq-functions. Using the properties of Fq-functions, relationship is given between these generalized fifth order mock theta functions of the first group with the generalized functions of the second group. The same is done for the generalized functions of the tenth order. q-Integral representation and multibasic expansions are also given. |
author |
Srivastava,Bhaskar |
author_facet |
Srivastava,Bhaskar |
author_sort |
Srivastava,Bhaskar |
title |
Ramanujan’s fifth order and tenth order mock theta functions - a generalization |
title_short |
Ramanujan’s fifth order and tenth order mock theta functions - a generalization |
title_full |
Ramanujan’s fifth order and tenth order mock theta functions - a generalization |
title_fullStr |
Ramanujan’s fifth order and tenth order mock theta functions - a generalization |
title_full_unstemmed |
Ramanujan’s fifth order and tenth order mock theta functions - a generalization |
title_sort |
ramanujan’s fifth order and tenth order mock theta functions - a generalization |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2015 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300006 |
work_keys_str_mv |
AT srivastavabhaskar ramanujan8217sfifthorderandtenthordermockthetafunctionsageneralization |
_version_ |
1718439807286247424 |