Work

New double-sum expansions for certain Mock theta functions

Year: 2022

Type: article

Abstract: The study of expansions of certain mock theta functions in special functions theory has a long and quite significant history. Motivated by recent correlations between $ q $-series and mock theta functions, we establish a new $ q $-series transformation formula and derive the double-sum expansions for mock theta functions. As an application, we state new double-sum representations for certain mock theta functions.

Source: AIMS Mathematics

DOI: 10.3934/math.2022948

Authors: Qiuxia Hu, Bilal Khan, Serkan Araci, Mehmet Acikgoz

Institutions: Luoyang Normal University, East China Normal University, Hasan Kalyoncu University, Gaziantep University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4286656435

FWCI:

Cites: 22

Cited by:

Related to: 10