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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Autor principal: Srivastava,Bhaskar
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300006
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spelling 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
collection Scielo Chile
language English
topic Mock theta function
q-Multibasic expansion
q-Integral.
spellingShingle 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
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