• ON Fq-FUNCTIONS ASSOCIATED WITH RAMANUJAN’S SIXTH ORDER MOCK-THETA FUNCTIONS
Abstract
ABSTRACT
In present paper, we have considered the sixth order Mock theta functions defined by Andrews and Hickerson.We have defined generalized functions which can be reduced to Ramanujan’s Mock theta functions of sixth order. We have shown that they are Fq-functions and have some properties. We have also given their integral representation.
In present paper, we have considered the sixth order Mock theta functions defined by Andrews and Hickerson.We have defined generalized functions which can be reduced to Ramanujan’s Mock theta functions of sixth order. We have shown that they are Fq-functions and have some properties. We have also given their integral representation.
Keywords
Key words and Phrases: Mock theta functions, Fq-functions, integral representation, q-series.
Full Text:
PDF
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
| © 2010-2022 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |