30
views
0
recommends
+1 Recommend
1 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Ramanujan’s fifth order and tenth order mock theta functions - a generalization

      research-article

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          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.

          Related collections

          Most cited references9

          • Record: found
          • Abstract: not found
          • Article: not found

          The Final Problem : An Account of the Mock Theta Functions

          G N Watson (1936)
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Tenth order mock theta functions in Ramanujan's Lost Notebook

              Bookmark
              • Record: found
              • Abstract: not found
              • Book: not found

              Basic Hypergeometric Series

                Bookmark

                Author and article information

                Journal
                proy
                Proyecciones (Antofagasta)
                Proyecciones (Antofagasta)
                Universidad Católica del Norte, Departamento de Matemáticas (Antofagasta, , Chile )
                0716-0917
                September 2015
                : 34
                : 3
                : 277-296
                Affiliations
                [01] Lucknow orgnameUniversity of Lucknow orgdiv1Department of Mathematics and Astronomy India
                Article
                S0716-09172015000300006 S0716-0917(15)03400300006
                f9c37485-8e04-443b-917e-a2282ae6b8e3

                This work is licensed under a Creative Commons Attribution 4.0 International License.

                History
                : July 2015
                : January 2015
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 10, Pages: 20
                Product

                SciELO Chile


                q-Integral.,q-Multibasic expansion,Mock theta function

                Comments

                Comment on this article