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Analytic continuation of the Appell function F 1 and integration of the associated system of equations in the logarithmic case corresponding system of partial differential equations are considered in the logarithmic case when

Bethe logarithm for the helium atomThe Bethe logarithm for a large set of states of the helium atom is calculated with a precision

Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services, and additionally possible batch arrivals and batch service. A unified approach based on a logarithmic norm

Integral equations with logarithmic singularities in kernels of two-dimensional problems for anisotropic bodies with defects method is used for a circle. Integral equations with logarithmic singularities in kernels of boundary

Stratum of freeness for deformations of singularities = Страт свободности для деформаций особенностейlogarithmic differential forms

Sharp estimates for functions with a pole and logarithmic singularityWe consider functions with a pole and a logarithmic singularity. We obtain sharp estimates

Functions computable by Boolean circuits of logarithmic depth and branching programs of a special type of logarithmic depth with the class of functions computable by branching programs of constant width

Analytic functions with polar and logarithmic singularities and locally convex boundary valuesWe consider a family of functions which have a pole of order m and a logarithmic term

On Shannon and Zipf–Mandelbrot entropies and related resultsn-exponential convexity and logarithmic convexity

On Zipf-Mandelbrot entropy and 3-convex functionsLogarithmic convexity

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