On monotonicity of ratios of some q-hypergeometric functions results we apply methods developed for the case of classical Kummer and
Gauss hypergeometric functions Fundamental solutions of two multidimensional elliptic equations equations. The solutions are written in explicit form via
hypergeometric Gauss functions for λ = 0 and via
On monotonicity of ratios of some hypergeometric functions] for Kummer
hypergeometric functions and its further generalizations for
Gauss and generalized
hypergeometric The Lauricella hypergeometric function in the theory of
Gauss's classical
hypergeometric equation. The use of this
function in the theory
Jacobi-type differential relations for the Lauricella function FD (N)For the generalized Lauricella
hypergeometric function FD (N), Jacobi-type differential relations
Fundamental solution of multidimensional axisymmetric Helmholtz equation functions. The obtained fundamental solutions have been proved to possess a power singularity (Formula
Fundamental solution of multidimensional axisymmetric Helmholtz equation functions. The obtained fundamental solutions have been proved to possess a power singularity (Formula
Fundamental solution of multidimensional axisymmetric Helmholtz equation confluent Horn
functions. The obtained fundamental solutions have been proved to possess a power singularity