Results 121 to 130 of about 527,794 (256)

Self-Similar Solutions of a Multidimensional Degenerate Partial Differential Equation of the Third Order

open access: yesMathematics
When studying the boundary value problems’ solvability for some partial differential equations encountered in applied mathematics, we frequently need to create systems of partial differential equations and explicitly construct linearly independent ...
Ainur Ryskan   +3 more
doaj   +1 more source

Decomposition formulas associated with the multivariable confluent hypergeometric functions [PDF]

open access: yesarXiv, 2018
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 formulas associated with confluent hypergeometric functions of two and more variables.
arxiv  

New solutions to the confluent Heun equation and quasiexact solvability [PDF]

open access: yesarXiv, 2013
We construct new solutions in series of confluent hypergeometric functions for the confluent Heun equation (CHE). Some of these solutions are applied to the one-dimensional stationary Schr\"{o}dinger equation with hyperbolic and trigonometric quasiexactly solvable potentials.
arxiv  

Boundary Value Problems for the Three-Dimensional Helmholtz Equation in the Unbounded Octant, Square and Half Space

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki
At present, the results of the study of boundary value problems for the two-dimensional Helmholtz equation with one and two singular coefficients are known.
Arzikulov, Z.O.
doaj   +1 more source

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