Funciones Theta Mock generalizadas en dos variables de orden ocho

• Srivastava, Bhaskar ^[1]
  1. [1] University of Lucknow

     University of Lucknow

     India

     
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 53, Nº. 2, 2019, págs. 185-193
• Idioma: español
• DOI: 10.15446/recolma.v53n2.85536
• Títulos paralelos:
  • Generalized Bilateral Eighth Order Mock Theta Functions and Continued Fractions
• Enlaces
  • Texto completo
• Resumen
  • español

    En esta contribución se obtienen funciones Theta Mock generalizadas de orden ocho en dos variables que se expresan mediante un producto infinito. Para valores particulares de los parámetros se deducen representaciones de dichas funciones mediante fracciones continuas.

  • English

    We give a two independent variable generalization of bilateral eighth order mock theta functions and expressed them as infinite product. On specializing parameters, we have given a continued fraction representation for the generalized function, which I think is a new representation.

• Referencias bibliográficas
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  • B. Gordon and R.J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62(2) (2000), 321-335.
  • J. Mc Laughlin, Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series, Analytic Number Theory, Modular Forms...
  • S. Ramanujan, Collected Papers, Cambridge University Press, Cambridge, 1927; reprinted by Chelsea, New York 1962; reprinted by the American...
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