Confluent Hypergeometric Function of the Second Kind
Gives the second linearly independent solution to the Confluent Hypergeometric Differential Equation. It is alsoknown as the Kummer's Function of the second kind, the Tricomi Function, or the Gordon Function. It is denoted 
and has an integral representation
(Abramowitz and Stegun 1972, p. 505). The Whittaker Functions give an alternative form of thesolution. For small
, the function behaves as 
.See also Bateman Function, Confluent Hypergeometric Function of the First Kind, Confluent HypergeometricLimit Function, Coulomb Wave Function, Cunningham Function, Gordon Function, HypergeometricFunction, Poisson-Charlier Polynomial, Toronto Function, Weber Functions, Whittaker Function
References
Abramowitz, M. and Stegun, C. A. (Eds.). ``Confluent Hypergeometric Functions.'' Ch. 13 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 503-515, 1972. Arfken, G. ``Confluent Hypergeometric Functions.'' §13.6 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 753-758, 1985. Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 671-672, 1953. Spanier, J. and Oldham, K. B. ``The Tricomi Function 
.'' Ch. 48 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 471-477, 1987.
- Erdös-Anning Theorem
- Erdös-Kac Theorem
- Erdös-Mordell Theorem
- Erdös Number
- Erdös Reciprocal Sum Constants
- Erdös-Selfridge Function
- Erdös Squarefree Conjecture
- Erdös-Szekeres Theorem
- Erf
- Erfc
- Erfi
- Ergodic Measure
- Ergodic Theory
- Ergodic Transformation
- Erlanger Program
- Ermakoff's Test
- Error
- Error-Correcting Code
- Error Curve
- Error Function
- Error Function Distribution
- Error Propagation
- Escher's Map
- Escribed Circle
- Essential Singularity