Results 31 to 40 of about 567,713 (175)

A Note on Four-Variable Reciprocity Theorem

International Journal of Mathematics and Mathematical Sciences, 2009
We give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's 1𝜓1-summation formula. We also obtain a generalization of Jacobi's triple product identity.
Chandrashekar Adiga, P. S. Guruprasad
doaj   +1 more source

Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations

Electronic Journal of Qualitative Theory of Differential Equations, 2022
We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
doaj   +1 more source

Scaling identities for solitons beyond Derrick’s theorem [PDF]

Journal of Mathematical Physics, 2009
New integral identities satisfied by topological solitons in a range of classical field theories are presented. They are derived by considering independent length rescalings in orthogonal directions, or equivalently, from the conservation of the stress tensor. These identities are refinements of Derrick’s theorem.
openaire   +3 more sources

Improved inclusion-exclusion identities via closure operators [PDF]

Discrete Mathematics & Theoretical Computer Science, 2000
Let (A v) v ∈ V be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure operator on the power set of V having the unique base property.
Klaus Dohmen
doaj   +2 more sources

A double bounded key identity for Goellnitz's (big) partition theorem

, 2000
Given integers i,j,k,L,M, we establish a new double bounded q-series identity from which the three parameter (i,j,k) key identity of Alladi-Andrews-Gordon for Goellnitz's (big) theorem follows if L, M tend to infinity.
A Berkovich, A Berkovich, A Schilling, D Zeilberger, G Gasper, GE Andrews, GE Andrews, H Göllnitz, K Alladi, L Carlitz, M Hirschhorn   +10 more
core   +2 more sources

Constant term identities extending the 𝑞-Dyson theorem [PDF]

Transactions of the American Mathematical Society, 1985
Andrews [1] has conjectured that the constant term in a certain product is equal to a q q -multinomial coefficient. This conjecture is a q q -analogue of Dyson’s conjecture [5], and has been proved, combinatorically, by Zeilberger and Bressoud [15].
Bressoud, D. M., Goulden, I. P.
openaire   +2 more sources

On commutativity of one-sided s-unital rings

International Journal of Mathematics and Mathematical Sciences, 1992
The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
doaj   +1 more source

A new application of Schrödinger-type identity to singular boundary value problem for the Schrödinger equation

Boundary Value Problems, 2019
In this paper, we present a modified Schrödinger-type identity related to the Schrödinger-type boundary value problem with mixed boundary conditions and spatial heterogeneities.
Bo Meng
doaj   +1 more source

A polynomial identity implying Schur’s partition theorem

Proceedings of the American Mathematical Society, 2020
11 ...
openaire   +2 more sources

Uniformly Primal Submodule over Noncommutative Ring

Journal of Mathematics, 2020
Let R be an associative ring with identity and M be a unitary right R-module. A submodule N of M is called a uniformly primal submodule provided that the subset B of R is uniformly not right prime to N, if there exists an element s∈M−N with sRB⊆N.The set
Lamis J. M. Abulebda
doaj   +1 more source