Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications
DOI10.1134/s1995080224600250zbMATH Open1545.33022MaRDI QIDQ6586698
Tuhtasin Gulamjanovich Ergashev, Z. O. Arzikulov
Publication date: 13 August 2024
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
self-similar solutionsfundamental solutionsGaussian hypergeometric functionAppell functionsHumbert functionsconfluent forms of hypergeometric functionsmultiple Lauricella hypergeometric functions
Series solutions to PDEs (35C10) Other functions coming from differential, difference and integral equations (33E30) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Solutions to PDEs in closed form (35C05) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fonctions hypergéométriques et hypersphériques. Polynômes d'Hermite.
- La fonction \(W_{k,\mu_1, \mu_2, \dots, \mu_n}(x_1, x_2, \dots,x_n)\).
- The confluent hypergeometric functions of two variables.
- On the convergence of hypergeometric series of two and three variables.
- Sur les séries hypergéométriques de deux variables et sur dés équations différentielles linéaires aux dérivés partielles.
- On solvability of a Poincaré-Tricomi type problem for an elliptic-hyperbolic equation of the second kind
- Exact solutions of the thin beam with degrading hysteresis behavior
- The Neumann problem for a multidimensional elliptic equation with several singular coefficients in an infinite domain
- Analytic continuation formulas for the hypergeometric functions in three variables of second order
- On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients
- Self-similar solutions of some model degenerate partial differential equations of the second, third, and fourth order
- Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables
- Hypergeometric expansions of solutions of the degenerating model parabolic equations of the third order
- Integraldarstellungen für Produkte Whittakerscher Funktionen.
- Beitrag zur Theorie der konfluenten hypergeometrischen Funktionen von mehreren Veränderlichen.
- A boundary value problem with a conormal derivative for a mixed-type equation of the second kind with a conjugation condition of the Frankl type
- Generalised hypergeometric seriesNF (x1,...,xN) arising in physical and quantum chemical applications
- POINCARE–TRICOMI PROBLEM FOR THE EQUATION OF A MIXED ELLIPTICO-HYPERBOLIC TYPE OF SECOND KIND
- The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications
- Fundamental solutions of generalized bi-axially symmetric Helmholtz equation
- On hypergeometric functions of several variables.
- Dirichlet problem for the Laplace equation in the hyperoctant of a multidimensional ball
This page was built for publication: Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications
