engleski

Some properties of generalized secant integrals: extended definition and recurrence relations

Line sources with slab shields represent typical source-shield configuration in gamma-ray attenuation problems. Such shielding problems often lead to the generalized Secant integrals of the form : ----------------Equation -------- Lately, the author developed rapidly convergent infinite series representation of generalized Secant Integrals involving incomplete Gamma functions. Validity of such representation was established for zero and positive values of integral parameter "a" (a >= 0). In this paper definition is extended to include negative real "a" values. It is demonstrated that introduced series representation is still valid. In addition, general recurrence relations are established that allow precise calculation of the integral for negative "a" values.

Secant integral; Sievert; Buildup; Shielding

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