Results 21 to 30 of about 212,516 (270)

Rarefied elliptic hypergeometric functions [PDF]

, 2018
Two exact evaluation formulae for multiple rarefied elliptic beta integrals related to the simplest lens space are proved. They generalize evaluations of the type I and II elliptic beta integrals attached to the root system $C_n$. In a special $n=1$ case,
Spiridonov, V.
core   +3 more sources

Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function

Journal of High Energy Physics, 2020
As a development of [1], we note that the ordinary Shiraishi functions have an insufficient number of parameters to describe generic eigenfunctions of double elliptic system (Dell).
Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov   +3 more
doaj   +1 more source

A class of partition functions associated with $E_{\tau,\eta}(gl_3)$ by Izergin-Korepin analysis

, 2020
Recently, a class of partition functions associated with higher rank rational and trigonometric integrable models were introduced by Foda and Manabe.
Motegi, Kohei
core   +1 more source

On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves

Jaunųjų Mokslininkų Darbai, 2017
In the paper, the continuous type’s universality theorem for L-functions of elliptic curves is discussed and its generalizations in three directions – for positive integer powers and derivatives of L-functions of elliptic curves as well as the weighted ...
Virginija Garbaliauskienė
doaj   +1 more source

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle [PDF]

, 2008
Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the $QD$-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Tsujimoto, Satoshi, Zhedanov, Alexei
core   +6 more sources

On the Applications of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions to Elliptic Functions

Axioms, 2023
Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of analytical function to obtain new criteria equivalent to the Riemann hypothesis.
Sergey Sekatskii
doaj   +1 more source

Properties of generalized univariate hypergeometric functions [PDF]

, 2006
Based on Spiridonov's analysis of elliptic generalizations of the Gauss hypergeometric function, we develop a common framework for 7-parameter families of generalized elliptic, hyperbolic and trigonometric univariate hypergeometric functions.
B. Nassrallah, D.P. Gupta, E. Koelink, E. Koelink, E. Koelink, E. M. Rains, F. J. van de Bult, F.J. Bult van de, G. Gasper, G. Letzter, J. V. Stokman, J.F. Diejen van, J.V. Stokman, J.V. Stokman, M. Noumi, M. Put van der, M. Rahman, M.E.H. Ismail, S. Lievens, S.N.M. Ruijsenaars, S.N.M. Ruijsenaars, S.N.M. Ruijsenaars, S.N.M. Ruijsenaars, T. Shintani, V.P. Spiridonov, V.P. Spiridonov, W. Groenevelt, Y. Komori   +27 more
core   +4 more sources

Fonctions et intégrales elliptiques [PDF]

Surveys in Mathematics and its Applications, 2008
This paper presents the basic ideas and properties of elliptic functions and elliptic integrals as an expository essay. It explores some of their numerous consequences and includes applications to some problems such as the simple pendulum and the Euler ...
Ahmed Lesfari
doaj  

Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions

Fractal and Fractional, 2019
The Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 0 for arbitrary powers N is given by the product of quasi C fractions.
Rathinavel Silambarasan, Adem Kılıçman   +1 more
doaj   +1 more source

Local minimizers in spaces of symmetric functions and applications [PDF]

, 2014
We study $H^1$ versus $C^1$ local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\mathcal{O}(N)$.
Dos Santos, Ederson Moreira, Leonelo Iturriaga, Pedro Ubilla   +3 more
core   +1 more source