Pages that link to "Mathematician:Irene A. Stegun"
The following pages link to Mathematician:Irene A. Stegun:
View (previous 100 | next 100) (20 | 50 | 100 | 250 | 500)- Series for log(z+a) for positive a and Re(z) greater than -a (← links)
- Reciprocal gamma written as an infinite product (← links)
- Erf of conjugate is conjugate of erf (← links)
- Two-sided inequality for e^(x^2) integral from x to infinity e^(-t^2) dt for non-negative real x (← links)
- Continued fraction for 2e^(z^2) integral from z to infinity e^(-t^2) dt for positive Re(z) (← links)
- Continued fraction for 1/sqrt(pi) integral from -infinity to infinity of e^(-t^2)/(z-t) dt (← links)
- Limit of erf when z approaches infinity and the modulus of arg(z) is less than pi/4 (← links)
- Anger of integer order is Bessel J (← links)
- Versine (← links)
- Coversine (← links)
- Haversine (← links)
- Exsecant (← links)
- Logarithm (multivalued) of the exponential (← links)
- Logarithm of exponential (← links)
- Exponential of logarithm (← links)
- E^(-x/(1-x)) is less than 1-x is less than e^(-x) for nonzero real x less than 1 (← links)
- E^x is greater than 1+x for nonzero real x (← links)
- E^x is less than 1/(1-x) for nonzero real x less than 1 (← links)
- X/(1+x) less than 1-e^(-x) less than x for nonzero real x greater than -1 (← links)
- X less than e^x-1 less than x/(1-x) for nonzero real x less than 1 (← links)
- 1+x greater than exp(x/(1+x)) for nonzero real x greater than -1 (← links)
- E^x greater than 1+x^n/n! for n greater than 0 and nonzero real x greater than 0 (← links)
- E^x greater than (1+x/y)^y greater than exp(xy/(x+y) for x greater than 0 and y greater than 0) (← links)
- E^(-x) less than 1-(x/2) for 0 less than x less than or equal to 1.5936 (← links)
- Abs(z)/4 less than abs(e^z-1) less than (7abs(z))/4 for 0 less than abs(z) less than 1 (← links)
- Abs(e^z-1) less than or equal to e^(abs(z))-1 less than or equal to abs(z)e^(abs(z)) (← links)
- Gauss' formula for gamma function (← links)
- Hankel H (1) in terms of csc and Bessel J (← links)
- Hankel H (2) in terms of csc and Bessel J (← links)
- Relationship between Bessel J sub n and Bessel J sub -n (← links)
- Relationship between Bessel Y sub n and Bessel Y sub -n (← links)
- Value of polygamma at 1 (← links)
- Value of polygamma at positive integer (← links)
- Value of polygamma at 1/2 (← links)
- Value of derivative of trigamma at positive integer plus 1/2 (← links)
- Polygamma multiplication formula (← links)
- Derivative of Bessel J with respect to its order (← links)
- Derivative of Bessel Y with respect to its order (← links)
- Relationship between csch and csc (← links)
- Relationship between sech and sec (← links)
- Reciprocal of Riemann zeta as a sum of Möbius function for Re(z) greater than 1 (← links)
- Identity written as a sum of Möbius functions (← links)
- Möbius function is multiplicative (← links)
- Sum of totient equals zeta(z-1)/zeta(z) for Re(z) greater than 2 (← links)
- Sum of totient equals z/((1-z) squared) (← links)
- Product representation of totient (← links)
- Euler totient is multiplicative (← links)
- Beta is symmetric (← links)
- Digamma functional equation (← links)
- Digamma at n+1 (← links)
- Digamma at 1 (← links)
- Jacobi theta 1 (← links)
- Jacobi theta 2 (← links)
- Jacobi theta 3 (← links)
- Jacobi theta 4 (← links)
- Squares of theta relation for Jacobi theta 1 and Jacobi theta 4 (← links)
- Squares of theta relation for Jacobi theta 2 and Jacobi theta 4 (← links)
- Squares of theta relation for Jacobi theta 3 and Jacobi theta 4 (← links)
- Squares of theta relation for Jacobi theta 4 and Jacobi theta 4 (← links)
- Sum of fourth powers of Jacobi theta 2 and Jacobi theta 4 equals fourth power of Jacobi theta 3 (← links)
- Derivative of Jacobi theta 1 at 0 (← links)
- Sum of sum of divisors function equals product of Riemann zeta for Re(z) greater than k+1 (← links)
- Generating function for partition function (← links)
- Closed form for partition function with sinh (← links)
- Pure recurrence relation for partition function (← links)
- Recurrence relation for partition function with sum of divisors (← links)
- Sum of divisors functions written in terms of partition function (← links)
- Asymptotic formula for partition function (← links)
- Hypergeometric 2F1 (← links)
- Limit of (1/Gamma(c))*2F1(a,b;c;z) as c approaches -m (← links)
- 2F1(1,1;2;z)=-log(1-z)/z (← links)
- 2F1(1/2,1;3/2;z^2)=log((1+z)/(1-z))/(2z) (← links)
- 2F1(1/2,1;3/2;-z^2)=arctan(z)/z (← links)
- 2F1(1/2,1/2;3/2;z^2)=arcsin(z)/z (← links)
- Logarithmic derivative of Jacobi theta 1 equals cotangent + a sum of sines (← links)
- Logarithmic derivative of Jacobi theta 2 equals negative tangent + a sum of sines (← links)
- Logarithmic derivative of Jacobi theta 3 equals a sum of sines (← links)
- Logarithmic derivative of Jacobi theta 4 equals a sum of sines (← links)
- Logarithm of quotient of Jacobi theta 1 equals the log of a quotient of sines + a sum of sines (← links)
- Logarithm of quotient of Jacobi theta 2 equals the log of a quotient of cosines + a sum of sines (← links)
- Logarithm of quotient of Jacobi theta 3 equals a sum of sines (← links)
- Logarithm of a quotient of Jacobi theta 4 equals a sum of sines (← links)
- Integral of monomial times Bessel J (← links)
- Integral of Bessel J for Re(nu) greater than -1 (← links)
- Integral of Bessel J for nu=2n (← links)
- Integral of Bessel J for nu=2n+1 (← links)
- Integral of Bessel J for nu=n+1 (← links)
- Integral of Bessel J for nu=1 (← links)
- Sqrt(1-z^2)2F1(1,1;3/2;z^2)=arcsin(z)/z (← links)
- Period of sinh (← links)
- Period of cosh (← links)
- Period of tanh (← links)
- Symmetry relation of exponential integral E (← links)
- Recurrence relation of exponential integral E (← links)
- Digamma at 1/2 (← links)
- Digamma at n+1/2 (← links)
- Derivative of the logarithm (← links)
- Beta in terms of power of t over power of (1+t) (← links)
- Asymptotic behavior of Sievert integral (← links)
- Relationship between Sievert integral and exponential integral E (← links)