Special Function Calculators

Professional online calculators for advanced mathematical special functions

25+

Calculators

Γ
Gamma

Functions

Bessel

Functions

Special

Analysis

Gamma Functions

Γ
Gamma Function

Calculate the Gamma function Γ(x) - generalization of factorial.

1/Γ
Inverse Gamma Function

Calculate the reciprocal Gamma function 1/Γ(x).

ln Γ
Log Gamma Function

Calculate the logarithmic Gamma function ln Γ(x).

ψ
Digamma Function

Calculate the Digamma function ψ(x) - first derivative of ln Γ(x).

ψ'
Trigamma Function

Calculate the Trigamma function ψ'(x) - second derivative of ln Γ(x).

Bessel Functions

J
Bessel J Function

Bessel function Jv(z) of the first kind.

Y
Bessel Y Function

Bessel function Yv(z) of the second kind.

I
Modified Bessel I

Modified Bessel function Iv(z) of the first kind.

K
Modified Bessel K

Modified Bessel function Kn(x) of the second kind.

j
Spherical Bessel J

Spherical Bessel functions jv(x) of the first kind.

y
Spherical Bessel Y

Spherical Bessel functions yv(x) of the second kind.

Ie
Scaled Bessel Ie

Exponentially scaled modified Bessel function Ie(z).

Ke
Scaled Bessel Ke

Exponentially scaled modified Bessel function Ke(z).

Je
Scaled Bessel Je

Exponentially scaled Bessel function Je(z).

Ye
Scaled Bessel Ye

Exponentially scaled Bessel function Ye(x).

H
Hankel Function

Hankel functions - linear combinations of Bessel functions.

Zeta Functions

ζ
Riemann Zeta Function

Calculate the Riemann Zeta function ζ(s) - key to prime distribution.

Airy Functions

Ai
Airy Function

Calculate the Airy function Ai(x) and Bi(x).

Ai'
Derivative Airy Function

Calculate derivatives of Airy functions Ai'(x) and Bi'(x).

Activation Functions

σ
Sigmoid Function

Calculate the sigmoid activation function σ(x).

Logit Function

Inverse function of the sigmoid function.

Softsign Function

Calculate the softsign activation function.

Softmax Function

Calculate the softmax activation function.

σ'
Derivative Sigmoid

Calculate the derivative of sigmoid function.

Derivative Softsign

Calculate the derivative of softsign function.

Fibonacci Functions

F
Fibonacci Function

Calculate Fibonacci numbers F(n).

Fibonacci Table

Generate Fibonacci number tables.

Struve Functions

H
Struve Function

Calculate Struve functions Hv(x).

L
Modified Struve Function

Calculate modified Struve functions Lv(x).

Struve Function Table

Generate Struve function value tables.

L
Modified Struve Function

Calculate modified Struve Lv(x) Table.

Related Calculator Categories
Mathematical Functions
Advanced Mathematics
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