Add to ORKGSeveral three-term recurrence relations for confluent hypergeometric functions are analyzed from a numerical point of view. Minimal and dominant solutions for complex values of the variable $z$ are given, derived from asymptotic estimates of Whittaker functions with large parameters. The Laguerre polynomials and the regular Coulomb wave functions are studied as particular cases, with numerical examples of their computation
Expansions in terms of Bessel functions are considered of the Kummer function ${}_1F_1(a;c,z)$ (or c...
We describe methods for computing the Kummer function $U(a,b,z)$ for small values of $z$, with spe...
AbstractThe functions of hypergeometric type are the solutions y ≡ yν(x) of the differential equatio...
6 pages, 3 figures.-- MSC2000 codes: 33C15; 39A11; 41A60; 65D20.-- Issue title: "Special Functions, ...
We identify minimal and dominant solutions of three-term recurrence relations for the confluent hype...
We identify minimal and dominant solutions of three-term recurrence relations for the confluent hype...
4 pages, no figures.-- MSC2000 codes: 33C15, 33F05, 40A15.-- Running title: "Recurrences and continu...
Pairs of numerically satisfactory solutions as $n\rightarrow \infty$ for the three-term recurrence ...
23 pages, 6 figures.-- MSC2000 codes: 33C05, 33C15, 39A11, 40A15, 65D20.MR#: MR2291841 (2008h:33007)...
Each family of Gauss hypergeometric functions $f_n = 2F_1(a+epsilon 1n,b+epsilon 2n;c+epsilon 3n;z),...
Expansions in terms of Bessel functions are considered of the Kummer function ${}_1F_1(a;c,z)$ (or c...
We describe methods for computing the Kummer function $U(a,b,z)$ for small values of $z$, with spe...
AbstractThe functions of hypergeometric type are the solutions y ≡ yν(x) of the differential equatio...
6 pages, 3 figures.-- MSC2000 codes: 33C15; 39A11; 41A60; 65D20.-- Issue title: "Special Functions, ...
We identify minimal and dominant solutions of three-term recurrence relations for the confluent hype...
We identify minimal and dominant solutions of three-term recurrence relations for the confluent hype...
4 pages, no figures.-- MSC2000 codes: 33C15, 33F05, 40A15.-- Running title: "Recurrences and continu...
Pairs of numerically satisfactory solutions as $n\rightarrow \infty$ for the three-term recurrence ...
23 pages, 6 figures.-- MSC2000 codes: 33C05, 33C15, 39A11, 40A15, 65D20.MR#: MR2291841 (2008h:33007)...
Each family of Gauss hypergeometric functions $f_n = 2F_1(a+epsilon 1n,b+epsilon 2n;c+epsilon 3n;z),...
Expansions in terms of Bessel functions are considered of the Kummer function ${}_1F_1(a;c,z)$ (or c...
We describe methods for computing the Kummer function $U(a,b,z)$ for small values of $z$, with spe...
AbstractThe functions of hypergeometric type are the solutions y ≡ yν(x) of the differential equatio...