Abstract
In this paper two lemmas for arbitrary general functions are given and then, by iteration,we express them as a continued fraction after that by specializing the parameters the continued fraction representation for the generalized tenth order mock theta functions are obtained.
Key words: Basic hypergeometric series, Mock theta functions, Continued fractions.
Full Text
Article Information
| Title | Some Identities for Tenth Order Mock Theta Functions |
| Source | Methods Funct. Anal. Topology, Vol. 32 (2026), no. 2, 174-180 |
| DOI | 10.31392/MFAT-npu26_2.2026.07 |
| Milestones | Received 14/12/2024; Revised 04/03/2026 |
| Copyright | The Author(s) 2026 (CC BY-SA) |
Authors Information
Swayamprabha Tiwari
Integral University_1, Department of Mathematics and Statistics, 226026, Lucknow, India
Sameena Saba
Integral University_2, Department of Mathematics and Statistics, 226026, Lucknow, India.
Ayhan Esi
Malatya Turgut Ozal University_3, Department of Basic Eng. Sci. (Math. Sect.) and Nat. Sci. Faculty, 44100, Malatya, Turkiye.
Citation Example
Swayamprabha Tiwari, Sameena Saba, and Ayhan Esi, Some Identities for Tenth Order Mock Theta Functions, Methods Funct. Anal. Topology 32
(2026), no. 2, 174-180.
BibTex
@article {MFAT2282,
AUTHOR = {Swayamprabha Tiwari and Sameena Saba and Ayhan Esi},
TITLE = {Some Identities for Tenth Order Mock Theta Functions},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {32},
YEAR = {2026},
NUMBER = {2},
PAGES = {174-180},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_2.2026.07},
URL = {https://mfat.imath.kiev.ua/article/?id=2282},
}
