Compute the Second Derivative of the Logarithmic value of the gamma Function in R Programming - trigamma() Function

Compute the Natural Logarithm of the Absolute Value of Gamma Function in R Programming - lgamma() Function

Last Updated : 12 Jun, 2020

lgamma() function in R Language is used to compute the natural logarithm of the absolute gamma value of a numeric vector computed using the gamma function. lgamma function is basically,

lgamma(x) = ln(factorial(x - 1))

Syntax: lgamma(x) Parameters: x: Non-negative Numeric Vector

Example 1:

Python3 1==

# R program to calculate the
# natural logarithm of gamma value

# Calling lgamma Function
lgamma(2)
lgamma(3)
lgamma(5)

Output:

[1] 0
[1] 0.6931472
[1] 3.178054

Example 2:

Python3 1==

# R program to calculate the lgamma value

# Creating vectors
x1 <- c(2, 3, 5)
x2 <- c(6, 7, 8)
x3 <- c(-1, -2, -3)

# Calling lgamma() Function
lgamma(x1)
lgamma(x2)
lgamma(x3)

Output:

[1] 0.0000000 0.6931472 3.1780538
[1] 4.787492 6.579251 8.525161
[1] Inf Inf Inf
Warning messages:
1: value out of range in 'lgamma' 
2: value out of range in 'lgamma' 
3: value out of range in 'lgamma'

Here, in the above code, the NaN is produced for a Negative numeric vector.

Compute the Second Derivative of the Logarithmic value of the gamma Function in R Programming - trigamma() Function

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