Results 91 to 100 of about 1,937 (191)

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

On the zeros of Confluent Hypergeometric Functions

open access: yes, 2015
In this paper, we study the zero sets of the confluent hypergeometric function $_{1}F_{1}(α;γ;z):=\sum_{n=0}^{\infty}\frac{(α)_{n}}{n!(γ)_{n}}z^{n}$, where $α, γ, γ-α\not\in \mathbb{Z}_{\leq 0}$, and show that if $\{z_n\}_{n=1}^{\infty}$ is the zero set of $_{1}F_{1}(α;γ;z)$ with multiple zeros repeated and modulus in increasing order, then there ...
Lin, Wei-Chuan, Luo, Xu-Dan
openaire   +2 more sources

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

INTEGRALS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS

open access: yesTamkang Journal of Mathematics, 1990
The moments of the weight functions $w(x)=e^{-x}x^\mu(\ln x)^\rho$, $\rho=0, 1, 2$, on $[0, \infty)$ with respect to the Confluent Hypergeometric function $\phi(a - n, c;x)$, $n = 0, 1, 2, \cdots$, are explicitly evaluated.
openaire   +2 more sources

A new generalization of gamma, beta hypergeometric and confluent hypergeometric functions

open access: yesLe Matematiche, 2013
The main object of this paper is to present new generalizations of gamma, beta hypergeometric  and confluent hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas, differentiation formulas, beta distribution and
Rakesh Kumar Parmar
doaj  

Exact ODE Framework for Classical and Quantum Corrections for the Lennard-Jones Second Virial Coefficient. [PDF]

open access: yesEntropy (Basel)
Zhao Z   +6 more
europepmc   +1 more source

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