ON THE DECOMPOSITION OF GENERALIZED INCOMPLETE GAMMA-FUNCTIONS WITH APPLICATIONS TO FOURIER-TRANSFORMS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:59

Article

CHAUDHRY, MA ; ZUBAIR, SM

关键词: GENERALIZED INCOMPLETE GAMMA FUNCTIONS;    DECOMPOSITIONS;    COSINE AND SINE FOURIER TRANSFORMS;   

DOI  :  10.1016/0377-0427(94)00026-W

来源: Elsevier

【 摘 要 】

In this paper we introduce decomposition functions C-Gamma(alpha, x; omega), S-Gamma(alpha, x; omega), C-gamma(alpha, x; omega) and S-gamma(alpha, x; omega) of the generalized gamma functions. These functions are found useful in the analytic study of the temperature distribution of a semi-infinite solid with periodic boundary conditions and to the theory of Fourier transforms. Several new identities involving the Fourier transforms are investigated and some of the classical ones are recovered as special cases. For numerical and scientific computations, tabular and graphical representations of the functions C-Gamma(alpha, x; omega) and S-Gamma(alpha, x; omega) are also given.

【 授权许可】

Free