Reduction and evaluation of elliptic integrals.
Reduction of large number of elliptic integrals, using relatively short list of formulas
ELLIPTIC INTEGRAL↗
Engineering topics
Carlson, B. C.
Publications and source records attributed to Carlson, B. C..
The Fourier series of Gegenbauer's function.
Fourier series of Gegenbauer function, examining convergence characteristics
CONVERGENCE↗
A hypergeometric mean value.
Hypergeometric mean value, showing expression for mean of order t of series of positive values with positive weights as limiting case
HYPERGEOMETRIC FUNCTION↗
On computing elliptic integrals and functions.
Elliptic integral and function direct computation method using successive quadratic Landen and Gauss transformations
ELLIPTIC INTEGRAL↗
Normal elliptic integrals of the first and second kinds.
Normal elliptic integrals of first and second kinds and associated hypergeometric functions, quadratic and linear transformations
LINEAR TRANSFORMATION↗
The fourier series of gegenbauer's function
Theoretical analysis of Fourier series of Gegenbauer function - methods for integration of Gegenbauer function and Fourier coefficients
FOURIER SERIES↗
A Hypergeometric Mean Value
Generalization of hypergeometric mean value from hypergeometric function without loss of homogeneity - derivation and properties of hypergeometric mean value
HYPERGEOMETRIC FUNCTION↗
NORMAL ELLIPTIC INTEGRALS OF THE FIRST AND SECOND KINDS
Transformation formulas and hypergeometric elliptical integral functions
ELLIPTIC FUNCTION↗