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Showing 1 to 5 of 5 for “"Modified Bessel Functions"”.
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An Isoperimetric Inequality for Fundamental Tones of Free Plates
… the fundamental modes of the unit ball as trial functions. These solutions are a linear combination of Bessel and modified Bessel functions.
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Global in time existence of Sobolev solutions to semi-linear damped sigma-evolution equations in L^q scales
… results, we would like to apply the theory of modified Bessel functions, Faà di Bruno's formula and Mikhlin-Hörmander multiplier theorem in the treatment of linear problems. In addition, some of modern tools from Harmonic Analysis play a fundamental role to investigate results for the global …
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Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization
… expansion for the perturbed Laplacians on both functions and $1-$forms. On the other hand, in noncommutative geometry one also wants to get a good notion of an action functional which depends only on the spectrum of $D$, called spectral action functional. It is known that such a functional can …
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Projected Angular Statistics for Large-scale Structure Cosmology
… the properties of dark matter and dark energy, modified gravity and primordial non- Gaussianity. Galaxy surveys measure (sometimes approximate) redshifts and angular positions of galaxies, which trace the LSS. The natural observables are maps of the galaxy overdensity, projected in redshift …
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Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory
… formulas involving various special functions such as the digamma function, Hurwitz zeta function and modified Bessel functions, through integrals involving the Riemann $\Xi$-function. Our motivation is a beautiful formula involving the digamma and the Riemann $\Xi$-functions found on …