Cover Image

Bilateral Two-Parameter Mock Theta Functions and Related Applications

In this paper, we investigate new relationships for bilateral series related to two-parameter mock theta functions, which lead to many identities concerning the bilateral mock theta functions. In addition, interesting relations between the classical mock theta functions and the bilateral series are...

Full description

Saved in:

Bibliographic Details
Published in:	Symmetry, Integrability and Geometry: Methods and Applications
Date:	2025
Main Author:	Wang, Chun
Format:	Article
Language:	English
Published:	Інститут математики НАН України 2025
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/214197
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Bilateral Two-Parameter Mock Theta Functions and Related Applications. Chun Wang. SIGMA 21 (2025), 087, 18 pages

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

On combinatorial extensions of some Ramanujan’s mock theta functions
by: Goyal, M., et al.
Published: (2020)

On combinatorial extensions of some Ramanujan&#039;s mock theta functions
by: M. Goyal
Published: (2020)

A modular transformation for a generalized theta function with multiple parameters
by: Bhargava, S., et al.
Published: (2009)

Deformations of compatible Hom-mock-Lie algebras
by: Benali, Karima, et al.
Published: (2025)

On transformation formulas for theta hypergeometric functions
by: Denis, R.Y., et al.
Published: (2012)

On transformation formulae for theta hypergeometric functions
by: Denis, R. Y., et al.
Published: (2012)

On the asymptotic of associate sigma-functions and Jacobi theta-functions
by: Ye. Korenkov, et al.
Published: (2018)

On the asymptotic of associate sigma-functions and Jacobi theta-functions
by: Korenkov, M. E., et al.
Published: (2018)

Adiabatic Limit, Theta Function, and Geometric Quantization
by: Yoshida, Takahiko
Published: (2024)

Ukrainian-Japanese relations, strategic partnership and bilateral cooperation (2011-2015)
by: L. Vovchuk
Published: (2015)

On Frobenius' Theta Formula
by: Fiorentino, Alessio, et al.
Published: (2020)

Photoconductivity in bilateral macroporous silicon
by: V. F. Onyshchenko
Published: (2022)

Photoconductivity in bilateral macroporous silicon
by: V. F. Onyshchenko
Published: (2022)

Research electric, magnetic and power characteristics at idle mode of mock-updevice of two-zone magnetodynamic installation for casting aluminum alloy
by: V. I. Dubodelov, et al.
Published: (2016)

Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
by: Langer, R., et al.
Published: (2009)

Using the R-Functions Theory Apparatus to Mathematically Model the Surface of the Soyuz-Appolo Spacecraft Mock-up for 3D Printing
by: Sheiko, Tetiana I., et al.
Published: (2020)

Using the R-Functions Theory Apparatus to Mathematically Model the Surface of the Soyuz-Appolo Spacecraft Mock-up for 3D Printing
by: Sheiko, Tetiana I., et al.
Published: (2020)

Using the R-Functions Theory Apparatus to Mathematically Model the Surface of the Soyuz-Appolo Spacecraft Mock-up for 3D Printing
by: T. I. Sheiko, et al.
Published: (2020)

Estimates for the approximate characteristics of the classes $B_{p, \theta}^{\Omega}$ of periodic functions of two variables with given majorant of mixed moduli of continuity
by: Konohrai, A. F., et al.
Published: (2011)

The Problems and Prospects of Ukrainian-Spanish Bilateral Cooperation
by: I. O. Panova, et al.
Published: (2023)

One criterion of unitarity of bilateral integral transformation
by: Vu Kim Tuan, et al.
Published: (1992)

Bilateral Bailey Lattices and Andrews-Gordon Type Identities
by: Dousse, Jehanne, et al.
Published: (2025)

Solutions of the matrix linear bilateral polynomial equation and their structure
by: Dzhaliuk, Nataliia S., et al.
Published: (2019)

Solutions of the matrix linear bilateral polynomial equation and their structure
by: Dzhaliuk, N.S., et al.
Published: (2019)

Best bilinear approximations of the classes $S^{\Omega}_{p, \theta}B$ of periodic functions of many variables
by: Solich, K. V., et al.
Published: (2011)

Best approximation of periodic functions of several variables from the classes $MB^{\omega}_{p,\theta}$
by: Stasyuk, S. A., et al.
Published: (2012)

Peculiarities of Bilateral Acts on the Establishment of Ukraine&#039;s Diplomatic Relations with Features of an International Treaty as Primary Sources of Their Study
by: O. Z. Yaroshko
Published: (2013)

Description of bilateral ideals in a class of noncommutative rings. II
by: Bavula, V. V., et al.
Published: (1993)

Description of bilateral ideals in a class of noncommutative rings. I
by: Bavula, V. V., et al.
Published: (1993)

Convergence of solutions of variation inequalities with bilateral obstacles in perforated regions
by: Kovalevsky , A. A., et al.
Published: (1992)

Best approximations of the classes $B_{p,\,\theta}^{r}$ of periodic functions of many variables in uniform metric
by: Romanyuk, A. S., et al.
Published: (2006)

Application of vision systems for determining the parameters of relative motion of spacecrafts
by: V. F. Gubarev, et al.
Published: (2016)

Value-sharing and uniqueness of entire functions
by: Wu, Chun
Published: (2014)

Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for An⁽¹⁾
by: Kuniba, A., et al.
Published: (2010)

The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II
by: Romanyuk, A. S., et al.
Published: (1993)

Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$
by: Solich, K. V., et al.
Published: (2012)

Linear widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$
by: Fedunyk, O. V., et al.
Published: (2006)

The best trigonometric and bilinear approximations of the functions of many variables from the classes $B_{p,\theta}^r$. I
by: Romanyuk, A.S., et al.
Published: (1992)

Receptor status of tumor as prognostic factor in patients with bilateral breast cancer
by: D. Y. Tsyhyka, et al.
Published: (2013)

History, current state and prospects of bilateral cooperation between Ukraine and Indonesia
by: V. Nedbai
Published: (2016)