
Accession Number : AD0696682
Title : ON A GENERALIZATION OF THE EXPONENTIAL INTEGRAL.
Descriptive Note : Final scientific rept.,
Corporate Author : OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS
Personal Author(s) : Kaplan,Carl
Report Date : JUL 1969
Pagination or Media Count : 30
Abstract : The subject matter of this paper evolved during the process of finding the asymptotic form of the stream function for the flow of an Oseenlike fluid past a paraboloid of revolution. Certain simpleappearing ordinary differential equations of the second order had to be solved in order to obtain the second and third approximations to the stream function and led in a natural way to a generalization of the exponential integral. The definitions of these generalized exponential integrals, their asymptotic and series expansions, the recurrence relations and derivatives parallel those of the wellknown exponential integrals. (Author)
Descriptors : (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), (*INTEGRALS, EXPONENTIAL FUNCTIONS), APPROXIMATION(MATHEMATICS), ASYMPTOTIC SERIES, THERMAL RADIATION, FLUID FLOW, PARABOLIC BODIES
Subject Categories : Numerical Mathematics
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE