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Article: The Qanalogue of Stirling's formula
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ABSTRACT: A version of Stirling’s formula for the qgamma function is given which is uniform in q for q close to 1, and reduces to Stirling’s formula when q=1. This can be used to compute ∏ n=0 ∞ (1aq n ) when 0<q<1 and q is close to 1.Rocky Mountain Journal of Mathematics 01/1984; 14(1984). · 0.39 Impact Factor 
Article: ON A qANALOGUE OF SÁNDOR'S FUNCTION
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ABSTRACT: In this paper we obtain a qanalogue of J. Sándor's theorems (6), on employing the qanalogue of Stirling's formula established by D. S. Moak (5).  [Show abstract] [Hide abstract]
ABSTRACT: Using nonArchimedean qintegration, we introduce multiple Changhee qBernoulli polynomials which form a qextension of Barnes’ multiple Bernoulli polynomials. We also construct the Changhee qzeta functions which give qanalogs of Barnes’ multiple zeta function and indicate some relationships between the Changhee qzeta function and Daehee qzeta function. As an immediate application of these relationships, we present a closed expression for sums of products of generalized qBernoulli numbers. This helps us to deal with nested sums over combinations of Barnes’ multiple zeta function, nonArchimedean binomial coefficients, and generalized qBernoulli polynomials.Russian Journal of Mathematical Physics 01/2003; 10(1). · 1.12 Impact Factor
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