An affirmative answer to an open problem on Ramanujan's asymptotic formula of zero-balanced hypergeometric function
Abstract
In this paper, by using recurrence method and new properties of beta function and Ramanujan R-function, we prove the absolute monotonicity result for a function related to Ramanujan asymptotic formula of zero-balanced hypergeometric function, which gives an affirmative answer to an open problem proposed by Anderson Vamanamurthy and Vuorinen Anderson-CIIQM-JW-1997 in 1997.
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