13 papers
The generalized Holmgren problem for elliptic equation with several singular coefficients
Tuhtasin Ergashev
Recently found all the fundamental solutions of a multidimensional singular elliptic equation are expressed in terms of the well-known Lauricella hypergeometric function in many va…
New decomposition formulas associated with the Lauricella multivariable hypergeometric functions
Tuhtasin Ergashev
Decomposition formulas associated with the Lauricella multivariable hypergeometric functions were known, however, due to the recurrence of those formulas, additional difficulties m…
Some relations following from the decomposition formula for one multidimensional Lauricella hypergeometric function
Tuhtasin Ergashev
Fundamental solutions for a class of multidimensional elliptic equations with several singular coefficients were constructed recently. These fundamental solutions are directly conn…
Decomposition formulas associated with the multivariable confluent hypergeometric functions
Tuhtasin Ergashev
The main object of this work is to show how some rather elementary techniques based upon certain inverse pairs of symbolic operators would lead us easily to several decomposition f…
Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation II
Abdumauvlen Berdyshev, Anvar Hasanov, Tuhtasin Ergashev
The double-layer potential plays an important role in solving boundary value problems for elliptic equations. All the fundamental solutions of the generalized bi-axially symmetric…
Third Double-layer Potential for generalized bi-axially symmetric Helmholtz equation
Tuhtasin Ergashev
The double-layer potential plays an important role in solving boundary value problems for elliptic equations, and in the study of which for a certain equation, the properties of th…