Volume 4,  Issue 5, 2003

Article 84

ON A $q$-ANALOGUE OF SÁNDOR'S FUNCTION

C. ADIGA, T. KIM, D. D. SOMASHEKARA AND SYEDA NOOR FATHIMA

DEPARTMENT OF STUDIES IN MATHEMATICS
MANASA GANGOTHRI, 
UNIVERSITY OF MYSORE 
MYSORE-570 006, INDIA.

INSTITUTE OF SCIENCE EDUCATION
KONGJU NATIONAL UNIVERSITY
KONGJU 314-701
S. KOREA.
E-Mail: tkim@kongju.ac.kr

Received 19 September, 2003; Accepted 29 September, 2003.
Communicated by: J. Sándor

ABSTRACT.   In this paper we obtain a q-analogue of J. Sándor's theorems [6], on employing the q-analogue of Stirling's formula established by D. S. Moak [5].

[5]  D.S. MOAK, The q-analogue of Stirlings formula, Rocky Mountain J. Math., 14 (1984), 403-413.
[6]  J. SÁNDOR, On an additive analogue of the function S,  Notes Numb. Th. Discr. Math., 7 (2001), 91-95.

Key words:
q-gamma function, q-Stirling's formula, Asymptotic formula.

2000 Mathematics Subject Classification:
33D05, 40A05.

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