Results 91 to 100 of about 1,936 (189)

On the zeros of Confluent Hypergeometric Functions

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

Vestnik 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

Properties of the Confluent Hypergeometric Function [PDF]

Journal of Mathematics and Physics, 1949
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INTEGRALS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS

Tamkang 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

Le 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  

Explicit Expressions for Most Common Entropies. [PDF]

Entropy (Basel), 2023
Nadarajah S, Kebe M.
europepmc   +1 more source

On evaluating the efficiency of the delta-lognormal mean estimator and predictor. [PDF]

MethodsX, 2022
Aubry P.
europepmc   +1 more source

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

Entropy (Basel)
Zhao Z, González-Calderón A, Perera-Burgos JA, Estrada A, Hernández-Anguiano H, Martínez-Lázaro C, Li Y.   +6 more
europepmc   +1 more source

A quadratic transformation for a special confluent Heun function. [PDF]

Heliyon
Ishkhanyan AM.
europepmc   +1 more source

Effects of modified woods saxon potential on quantum dynamics of spin 0 scalar particle in a cosmic string spacetime. [PDF]

Sci Rep
Ahmed F, Bouzenada A.
europepmc   +1 more source