GAMMA FUNCTION: A DIFFERENTIAL LIMIT TO FACTORIAL GROUP

Gamma function shows the real function of the factorial numberswhen restricted to natural numbers. The reason behind the reduction ofGamma function to factorial is in the application of L Hospital’ rule to the integralfor its recurrence relation. L Hospital’ rule has a significance of applyingdifferential limit in tandem to both numerator and denominator till the fractionis indeterminate. It has a deeper significance of division, prime numbers,division by zero, indeterminate fraction, prime number distribution, differentiallimit, decimal precision limit and algorithm and measurement limitingthe prime number distribution. This work explores the deeper significance ofGamma function in terms of differential limit.