Naslov
Generalization of a summation due to Ramanujan

Autori
Poganj, Tibor ; Rathie, Arjun Kumar ; Pandey, Ujjawal

Izvornik
Prilozi - Makedonska akademija na naukite i umetnostite. Oddelenie na matematičko-tehnički nauki (0351-3246) XXX (2009), 1-2; 67-73

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hypergeometric ${; ; ; }; ; ; _2F_1$ ; Kummer's summation theorem ; Ramanujan summation formula.

Sažetak
The aim of this research note is to find the sum of the series $1 + \frac{; ; x-1}; ; {; ; x+1+j}; ; + \frac{; ; (x-1)(x-2)}; ; {; ; (x+1+j)(x+2+j)}; ; + ... \Re \{; ; x\}; ; >0$ for $j=0, 1, 2, 3, 4, 5$. When $j=0$, we get a summation due to Ramanujan. The results are derived with the help of generalized Kummer's theorem obtained already by Lavoie, Grandie and Rathie.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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