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Special functions as solutions to the Euler-Poisson-Darboux equation with a fractional power of the Bessel operator-Poisson-Darboux equation with fractional derivatives in the form of a power of the Bessel differential operator. Using

Information inequalities for characteristics of group-sequential test with groups of observations of random size of the derivative of the power function and establish the information-type inequalities relating that derivative

A fractional equation with left-sided fractional Bessel derivatives of Gerasimov-Caputo type-sided fractional Bessel derivatives on semi-axes of Gerasimov-Caputo type. We derive explicit solutions

Information inequalities for characteristics of group-sequential test with groups of observations of random size of the derivative of the power function and establish the information-type inequalities relating that derivative

On the derivatives of set functions in matrix representation, obtained through matrix–vector multiplication. Many relations between the set functions derivatives

Double-layer potential of axially symmetric Helmholtz lowest term equation this derivative a special function unit is used. 3. The fundamental solution to the considered equation

A uniqueness theorem for linear elliptic equations with dominating derivative with respect to z with analytic coefficients whose senior derivative is the n-th power of the Cauchy–Riemann operator.

Hardy type inequalities for fractional integrals and derivatives of Riemann–Liouville–Liouville fractional integrals and derivatives in the case when the weight function have power and logarithmic

Locally Most Powerful Group-Sequential Tests with Groups of Observations of Random Size: Finite Horizon
characteristics: its error probability of the first type, the derivative of its power function at θ = θ0

Fractional Bessel integrals and derivatives on semi-axesIn this paper we study fractional powers of the Bessel differential operator. The fractional powers

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