V. Nijimbere

activity

20172020

most citedAnalytical evaluation and asymptotic evaluation of Dawson's integral and related functions in mathematical physics

6 citations · 24 across the 8 of their papers we have counts for

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math.CA2017★ 6 cited

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…

math.CA2017★ 5 cited

Evaluation of some non-elementary integrals involving sine, cosine, exponential and logarithmic integrals: Part I

Victor Nijimbere

The non-elementary integrals $Si_{β, α} = \int [sin (λ x^{β}) / (λ x^{α})] d x, β \geq 1, α \leq β + 1$ and $Ci_{β, α} = \int [cos (λ x^{β}) / (λ x^{α})] d x, β \geq 1, α \leq 2 β + 1$ , where $\{β,α\}\in\m…

math.CA2017★ 4 cited

Evaluation of the non-elementary integral $\int e^{λ x^{α}} d x, α \geq 2$ , and other related integrals

Victor Nijimbere

A formula for the non-elementary integral $\int e^{λ x^{α}} d x$ where $α$ is real and greater or equal two, is obtained in terms of the confluent hypergeometric function $_{1} F_{1}$ . This…

Analytical evaluation and asymptotic evaluation of Dawson's integral and related functions in mathematical physics

Evaluation of some non-elementary integrals involving sine, cosine, exponential and logarithmic integrals: Part I

Evaluation of the non-elementary integral ∫eλxαdx,α≥2, and other related integrals

Evaluation of the non-elementary integral $\int e^{λ x^{α}} d x, α \geq 2$ , and other related integrals