Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: An algorithm is presented for computing verified error bounds for the value of the real gamma function. It has been shown that the double exponential formula is one of the most efficient methods for calculating integrals of the form. Recently, an useful evaluation based on the double exponential formula over the semi-infinite interval has been proposed. Hover, the evaluation would be overflow when applied to the real gamma function directly. ,  present a theorem so as to overcome the problem in such a case. Numerical results are presented for illustrating effectiveness of the proposed theorem in terms of the accuracy of the calculation.
['Naoya Yamanaka', 'Tomoaki Okayama', 'Shin’ichi Oishi']
I am writing a research paper on a idea Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval
[{"from": "human", "value": "I am writing a research paper on a idea Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: An algorithm is presented for computing verified error bounds for the value of the real gamma function. It has been shown that the double exponential formula is one of the most efficient methods for calculating integrals of the form. Recently, an useful evaluation based on the double exponential formula over the semi-infinite interval has been proposed. Hover, the evaluation would be overflow when applied to the real gamma function directly. ,  present a theorem so as to overcome the problem in such a case. Numerical results are presented for illustrating effectiveness of the proposed theorem in terms of the accuracy of the calculation."}]