6 citations · 24 across the 8 of their papers we have counts for
8 papers
Analytical valuation of some non-elementary integrals involving some exponential, hyperbolic and trigonometric elementary functions and derivation of new probability measures generalizing the gamma-type and normal distributions
Victor Nijimbere
The non-elementary integrals involving elementary exponential, hyperbolic and trigonometric functions, $ \int x^αe^{ηx^β}dx, \int x^α\cosh\left(ηx^β\right)dx, \int x^α\sinh\left(ηx…
Evaluation of some non-elementary integrals involving the generalized hypergeometric function with some applications
Victor Nijimbere
The indefinite integral where are real or complex constan…
Implementation of a Wiener Chaos Expansion Method for the Numerical Solution of the Stochastic Generalized Kuramoto-Sivashinsky Equation driven by Brownian motion forcing
Victor Nijimbere
Numerical computations based on the Wiener Chaos Expansion (WCE) are carried out to approximate the solutions of the stochastic generalized Kuramoto--Sivashinsky (SgKS) equation dr…
Asymptotic approximation of the eigenvalues and the eigenfunctions for the Orr-Sommerfeld equation on infinite intervals
Victor Nijimbere
Asymptotic eigenvalues and eigenfunctions for the Orr-Sommerfeld equation in two and three dimensional incompressible flows on an infinite domain and on a semi-infinite domain are…
Evaluation of some non-elementary integrals involving sine, cosine, exponential and logarithmic integrals: Part II
Victor Nijimbere
The non-elementary integrals $\mbox{Si}_{β,α}=\int [\sin{(λx^β)}/(λx^α)] dx,β\ge1,α>β+1$ and $\mbox{Ci}_{β,α}=\int [\cos{(λx^β)}/(λx^α)] dx, β\ge1, α>2β+1$, where $\{β,α\}\in\mathb…
Analytical evaluation and asymptotic evaluation of Dawson's integral and related functions in mathematical physics
Victor Nijimbere
Dawson's integral and related functions in mathematical physics that include the complex error function (Faddeeva's integral), Fried-Conte (plasma dispersion) function, (Jackson) f…
Evaluation of some non-elementary integrals involving sine, cosine, exponential and logarithmic integrals: Part I
Victor Nijimbere
The non-elementary integrals and , where $\{β,α\}\in\m…
Evaluation of the non-elementary integral , and other related integrals
Victor Nijimbere
A formula for the non-elementary integral where is real and greater or equal two, is obtained in terms of the confluent hypergeometric function . This…