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One-dimensional integral equations for a system of three identical particles in the boundary condition model and the possibility of changing the off-shell behaviour of the two-particle T-matrix

Nuclear Physics A, 1976
Abstract It is shown that in the framework of the boundary condition model (BCM) for the two-particle interaction the Schrodinger equation for the system of three identical bosons can be reduced to the one-dimensional integral equation in an exact way.
V.N. Efimov, H. Schulz
openaire   +1 more source

(w; β)-BELL POLYNOMIALS ∀w ∈ C, β > 0, THEIR APPLICATIONS IN IDENTITIES EVALUATION AND MATRIX EQUATION REPRESENTATION

jnanabha
In the present paper on application of (w; β)-Bell polynomials ∀w ∈ C, β > 0, authors obtain identities of Kummer confluent hypergeometric function and Srivastava - Daoust function of two variables. Next they derive that the differentiation of these polynomials is connected with Stirling numbers of second kind.
R. C. Singh Chandel   +2 more
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Canonical Equation K 32 for Normalized Spectral Functions of Random Gram Matrices with Identically Distributed Independent Blocks. Block Matrix Density

2001
The Chapter extends the “One quarter Law” \( {(2\pi )^{ - 1}}\sqrt {(4 - x)} \;{x^{ - 1/2}},\;{\rm{0}}\;{\rm{ < }}\;x {\rm{ < }}\;{\rm{4}} \) to Gram random matrices with independent random blocks obeying a Lindeberg-type condition and allowing arbitrary dependence of entries within each block.
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Canonical Equation K 28 for Normalized Spectral Functions of Random Symmetric Matrices with Identically Distributed Independent Blocks. Block Matrix Density. SS-Laws

2001
The first asymptotics of normalized spectral functions of random matrices were obtained for the matrices with independent entries. As we have seen in the previous chapter, it is possible to find the general form of possible limit normalized spectral functions of random symmetric matrices with asymptotically independent random blocks.
openaire   +1 more source

Some modular equations analogous to Ramanujan’s identities

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
B R Srivatsa Kumar   +2 more
exaly  

Identities via Bell matrix and Fibonacci matrix

Discrete Applied Mathematics, 2008
Weiping Wang
exaly  

Another proof of Pell identities by using the determinant of tridiagonal matrix

Applied Mathematics and Computation, 2012
Durmus Bozkurt
exaly  

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