Confluent conformal blocks of the second kind
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DOI: 10.1007/jhep06(2020)133
Abstract: We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to another. In the BPZ limit, we verify… read more here.
Keywords: blocks second; confluent conformal; second kind; conformal blocks ... See more keywords
Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions
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DOI: 10.1007/s10444-018-9587-7
Abstract: The Laplace-Beltrami problem ΔΓψ = f has several applications in mathematical physics, differential geometry, machine learning, and topology. In this work, we present novel second-kind integral equations for its solution which obviate the need for… read more here.
Keywords: second kind; integral equations; laplace beltrami; kind integral ... See more keywords
A system of functions biorthogonal with the derivatives of Chebyshev second-kind polynomials of a complex variable
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DOI: 10.1007/s10958-020-04973-0
Abstract: For the derivatives of Chebyshev second-kind polynomials of a complex vafiable, a system of functions biorthogonal with them on closed curves of the complex plane is constructed. Properties of these functions and the conditions of… read more here.
Keywords: chebyshev second; second kind; kind polynomials; derivatives chebyshev ... See more keywords
A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets
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DOI: 10.1007/s11075-021-01088-8
Abstract: The main aim of this research study is to present a new and efficient numerical method based on the second kind Chebyshev wavelets for solving the general form of distributed order fractional differential equations in… read more here.
Keywords: second kind; chebyshev wavelets; operational vector; based second ... See more keywords
Bounds for the generalized Marcum function of the second kind
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DOI: 10.1007/s11139-021-00440-9
Abstract: In this paper, we focus on the generalized Marcum function of the second kind of order $$\nu >0$$ , defined by $$\begin{aligned} R_{\nu }(a,b)=\frac{c_{a,\nu }}{a^{\nu -1}} \int _b ^ {\infty } t^{\nu } e^{-\frac{t^2+a^2}{2}}K_{\nu -1}(at)\mathrm{d}t,… read more here.
Keywords: marcum function; generalized marcum; second kind; kind ... See more keywords
A new contraction condition and its application to weakly singular Volterra integral equations of the second kind
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DOI: 10.1007/s11784-017-0445-x
Abstract: In this paper, we prove some results concerning the existence and uniqueness of solutions for a large class of nonlinear Volterra integral equations of the second kind, especially singular Volterra integral equations, in the Banach… read more here.
Keywords: second kind; new contraction; equations second; volterra integral ... See more keywords
A novel hyperelastic model for biological tissues with planar distributed fibers and a second kind of Poisson effect
Sign Up to like & getrecommendations! Published in 2021 at "Journal of The Mechanics and Physics of Solids"
DOI: 10.1016/j.jmps.2021.104377
Abstract: Abstract Constitutive models are of fundamental importance to many biomedical problems such as the rupture prediction of aortic aneurysms. Existing structure-based constitutive models such as the widely used Gasser–Ogden–Holzapfel (GOH) model usually need to specify… read more here.
Keywords: poisson effect; second kind; poisson; kind poisson ... See more keywords
Pascal eigenspaces and invariant sequences of the first or second kind
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DOI: 10.1016/j.laa.2017.09.002
Abstract: Abstract An infinite real sequence { a n } is called an invariant sequence of the first (resp., second) kind if a n = ∑ k = 0 n ( n k ) ( −… read more here.
Keywords: second kind; sequences first; kind; first second ... See more keywords
An efficient method based on the second kind Chebyshev wavelets for solving variable-order fractional convection diffusion equations
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DOI: 10.1080/00207160.2017.1346243
Abstract: ABSTRACT In this paper, a class of variable-order fractional convection diffusion equations have been solved with assistance of the second kind Chebyshev wavelets operational matrix. The operational matrix of variable-order fractional derivative is derived for… read more here.
Keywords: second kind; variable order; chebyshev wavelets; kind chebyshev ... See more keywords
On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels
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DOI: 10.1080/00207160.2019.1619705
Abstract: ABSTRACT This paper considers a special boundary element method for Fredholm integral equations of the second kind with singular and highly oscillatory kernels. To accelerate the resolution of the linear system and the matrix-vector multiplication… read more here.
Keywords: second kind; kind singular; equations second; singular highly ... See more keywords
Orthogonality of the Ferrers' associated Legendre functions of the second kind with imaginary argument
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DOI: 10.1080/10652469.2017.1322965
Abstract: ABSTRACT In this work we study the associated Legendre functions of the second kind with a purely imaginary argument . We derive the conditions under which they provide a set of square integrable functions when… read more here.
Keywords: second kind; imaginary argument; legendre functions; functions second ... See more keywords