: Mathematics: Fransén-Robinson constant

mathematical physics > special function > gamma function > Fransén-Robinson constant

mathematical analysis > functional analysis > special function > gamma function > Fransén-Robinson constant

mathematical analysis > complex analysis > meromorphic function > gamma function > Fransén-Robinson constant

number > mathematical constant > Fransén-Robinson constant

Fransén-Robinson constant

he Fransén–Robinson constant, sometimes denoted F, is the mathematical constant that represents the area between the graph of the reciprocal Gamma function, $1/Γ(x)$ , and the positive x axis. That is,
${\\displaystyle F=\\int _{0}^{\\infty }{\ rac {1}{\\Gamma (x)}}\\,dx=2.8077702420285...}$

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