Results 11 to 20 of about 3,610,072 (153)
Some Theta-Function Identities Related to Jacobi’s Triple-Product Identity
European Journal of Pure and Applied Mathematics, 2018 The main object of this paper is to present some q-identities involving some of the theta functions of Jacobi and Ramanujan. These q-identities reveal certain relationships among three of the theta-type functions which arise from the celebrated Jacobi’s triple-product identity in a remarkably simple way.
Srivastava, Hari M. +2 more
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Jacobi's triple product identity and theta function identities [PDF]
Mathematical Communications, 2011 As a unified approach, Jacobi's triple product identity will be utilized to derive theta function formulae due to Baruah-Berndt (2007), identities of Rogers--Ramanujan functions and modular equations due to Ramanujan.
Chu, Wenchang, Yan, Qinglun
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A triple product identity for Schur functions [PDF]
, 1991 In this paper we expand the product of n different classical theta functions into a Laurent sum of Schur symmetric functions of their arguments. This expansion is a natural extension of the Jacobi triple product identity.
Milne, S.C
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Tiling proofs of Jacobi triple product and Rogers-Ramanujan identities [PDF]
, 2022 We use the method of tiling to give elementary combinatorial proofs of some celebrated $q$-series identities, such as Jacobi triple product identity, Rogers-Ramanujan identities, and some identities of Rogers.
Shukla, Alok
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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]
, 2007 In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
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Truncated Series with Nonnegative Coefficients from the Jacobi Triple Product
, 2022 Andrews and Merca investigated a truncated version of Euler's pentagonal number theorem and showed that the coefficients of the truncated series are nonnegative.
Liuquan Wang, Wang, Liuquan
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Product blocking measures and a particle system proof of the Jacobi triple product [PDF]
, 2018 We review product form blocking measures in the general framework of nearest neighbor asymmetric one dimensional misanthrope processes. This class includes exclusion, zero range, bricklayers, and many other models.
Balazs, Marton +3 more
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Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations [PDF]
, 2004 We study stochastic Hamilton-Jacobi-Bellman equations and the corresponding Hamiltonian systems driven by jump-type Lévy processes. The main objective of the present paper is to show existence, uniqueness and a (locally in time) diffeomorphism ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich) +10 more
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Advanced Functional Materials, EarlyView.HfxZr1−xO2${\rm Hf}_x{\rm Zr}_{1-x}{\rm O}_2$ offers CMOS‐compatible nanoscale ferroelectricity yet suffers from a high Ec${\rm E}_c$ demanding large operating voltages. A unified phase‐field framework spanning AFE/FE/DE phases shows how FE grains soften neighboring AFE grains over λ$\lambda$ ≈$\approx$ 22–37 nm.
P. Pankaj +4 more
wiley +1 more source
A New Construction of Ewell's Octuple Product Identity [PDF]
, 2013 [[abstract]]In this article, we establish an octuple product identity motivated by the work of Carlitz and Subbarao in which they use Jacobi`s triple product identity only to prove the quintuple product identity nd Winquist`s identity. Our work turns out
Chen, Sin-Da; Chen, Wei-Yueh; Huang, Sen-Shan
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