Universität zu Köln

Jang, Min-Joo and Loebrich, Steffen (2017). RADIAL LIMITS OF THE UNIVERSAL MOCK THETA FUNCTION g3. Proc. Amer. Math. Soc., 145 (3). S. 925 - 936. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6826

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Abstract

Referring to Ramanujan's original definition of a mock theta function, Rhoades asked for explicit formulas for radial limits of the universal mock theta functions g2 and g3. Recently, Bringmann and Rolen found such formulas for specializations of g2. Here we treat the case of g3, generalizing radial limit results for the rank generating function of Folsom, Ono, and Rhoades. Furthermore, we find expressions for radial limits of fifth order mock theta functions different from those of Bajpai, Kimport, Liang, Ma, and Ricci.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Jang, Min-Joo UNSPECIFIED UNSPECIFIED UNSPECIFIED Loebrich, Steffen UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-239439
DOI:	10.1090/proc/13065
Journal or Publication Title:	Proc. Amer. Math. Soc.
Volume:	145
Number:	3
Page Range:	S. 925 - 936
Date:	2017
Publisher:	AMER MATHEMATICAL SOC
Place of Publication:	PROVIDENCE
ISSN:	1088-6826
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FORMS Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23943