Results 21 to 30 of about 4,353,774 (184)
Theta lifts for Lorentzian lattices and coefficients of mock theta functions
, 2021 We evaluate regularized theta lifts for Lorentzian lattices in three different ways. In particular, we obtain formulas for their values at special points involving coefficients of mock theta functions.
Bruinier, Jan Hendrik +1 more
core +1 more source
, 2016 We prove a general result on Bailey pairs and show that two Bailey pairs of Bringmann and Kane are special cases. We also show how to use a change of base formula to pass from the pairs of Bringmann and Kane to pairs used by Andrews in his study of ...
Lovejoy, Jeremy, Osburn, Robert
core +1 more source
A note on two of Ramanujan’s mock theta functions
The Ramanujan Journal, 2023 Abstract In the “Lost” Notebook Ramanujan defined two mock theta functions (which we denote by φR and ξR) and gave relations connecting them to some of the sixth-order mock theta functions. It turns out that these mock theta functions are related to each other by modular transformation.
openaire +1 more source
New double-sum expansions for certain Mock theta functions [PDF]
, 2022 The study of expansions of certain mock theta functions in special functions theory has a long and quite significant history. Motivated by recent correlations between q-series and mock theta functions, we establish a new q-series transformation formula ...
Araci, Serkan +3 more
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Holomorphic projections and Ramanujan’s mock theta functions [PDF]
Proceedings of the National Academy of Sciences, 2014 Significance Mock theta functions were introduced by Ramanujan in 1920. They have become a vivid area of research, and they continue to play important roles in different parts of mathematics and physics. In this paper, we extend the concept of holomorphic projection, which allows us to prove identities for the Fourier series ...
Imamoğlu Ö, Raum M, Richter OK
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[Sammlung Poesiealben von Burkhard Mock]
, 2021 [SAMMLUNG POESIEALBEN VON BURKHARD MOCK] [Sammlung Poesiealben von Burkhard Mock] ([1]r) Abschrift der Einträge aus Stb 1907 ([1 ...
Mock, Burkhard
core
New Mock Theta Function Identities via Fractional q-Calculus and Bilateral 2ψ2 Series
Fractal and FractionalMock theta functions, introduced by Ramanujan in his last letter to Hardy, play a significant role in q-series theory and have natural connections to fractional q-calculus. In this paper, we study bilateral hypergeometric series of the form ψ22= ∑n=−∞∞(a,
Qiuxia Hu, Bilal Khan
doaj +1 more source
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo +3 more
wiley +1 more source
Analysis of theta power in hippocampal EEG during bar pressing and running behavior in rats during distinct behavioral contexts [PDF]
, 2004 These experiments examine changes in theta power as measured by wavelet analysis in five rats performing a conditional visual discrimination task and a simple running task. In the conditional task, rats were trained to press one lever to initiate a trial
Hyman, James M. +7 more
core +1 more source
Adaptive Collision Sensitivity for Efficient and Safe Human–Robot Collaboration
Advanced Intelligent Systems, EarlyView.An adaptive collision‐sensitivity framework uses each robot link's effective mass to estimate contact forces online and decide when collaborative robots should stop or continue. Tested on simulated and real UR10e and simulated KUKA arms, it maintains conservative force estimates while reducing unnecessary stops and increasing task productivity. What is
Lukas Rustler +2 more
wiley +1 more source