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GluK1 kainate receptors in parvalbumin interneurons modulate cortico-hippocampal network dynamics during social behavior. [PDF]

open access: yesTransl Psychiatry
Rhee JK   +8 more
europepmc   +1 more source

A study on ratio of the Θ–Theta functions

open access: yesApplied Mathematics and Computation, 2004
The authors show that the four fundamental theta functions satisfy a nonlinear differential equation, involving also the quotient of the first and third theta functions. They use some results from the monograph of \textit{D. Mumford} [Tata lectures on theta.
M. Nuri Kültür, Abdullah Kaplan
exaly   +6 more sources
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Identities involving mock theta functions and theta functions

Proceedings of the American Mathematical Society, 2023
In this paper, we first present new representations for several mock theta functions. In view of the sign flips on these identities, some interesting results involving theta functions are established by new Bailey pairs and Watson’s 8 ϕ 7 _8\phi _7 transformation ...
Song, Hanfei, Wang, Chun
openaire   +2 more sources

Hyperquasipolynomials for the Theta-Function

Functional Analysis and Its Applications, 2018
An entire function \(f\) is hyperquasipolynomial w.r.t. a function \(g: \mathbb{C}\to \mathbb{C}\) if \(f\) satisfies \[ f(x+y)g(x-y)=\sum_{j=1}^r \alpha_j(x) \beta_j(y) \] for some \(r\in \mathbb{N}\) and functions \(\alpha_j, \beta_j: \mathbb{C} \to \mathbb{C}\) [\textit{V. A. Bykovskii}, Funct. Anal. Appl. 50, No.
Illarionov, A. A., Romanov, M. A.
openaire   +1 more source

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