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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…
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…