Title of article :
GAUSS SUMMATION FORMULA FOR LIMIT SUMMAND FUNCTIONS and RELATED RESULTS
Author/Authors :
Eslami, K Shiraz Branch - Islamic Azad University , Hooshmand, M.H Shiraz Branch - Islamic Azad University
Abstract :
Regarding the Gauss multiplication formula for F-type functions, we introduce its dual formula for limit summand functions, namely Gauss summation formula. Also, we show that not only the Gauss multiplication for I-type functions is a simple result of this formula, but also provide an its improvement with several consequences and applications. Finally, as a note, we mention that a condition in two Webster's theorems is extra.
Keywords :
summand function , monotone function , limit summability , gauss summation formula , I-type function
Journal title :
Journal of Mathematical Extension(IJME)