𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New series expansions for the confluent hypergeometric function

✍ Scribed by López, José L.; Pérez Sinusía, Ester


Book ID
125449699
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
276 KB
Volume
235
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A new expansion of the confluent hyperge
✍ Julio Abad; Javier Sesma 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 179 KB

An asymptotic expansion of the confluent hypergeometric function U(a,b,x) for large positive 2a-b is given in terms of modified Bessel functions multiplied by Buchholz polynomials, a family of double polynomials in the variables b and x with rational coefficients.

On the expansion of confluent hypergeome
✍ N.M. Temme 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 427 KB

For the confluent hypergeometric functions U (a, b, z) and M (a, b, z) asymptotic expansions are given for a -~ ,o. The expansions contain modified Bessel functions. For real values of the parameters rigorous error bounds are given.

The confluent hypergeometric functions a
✍ José L. López; Pedro J. Pagola 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 478 KB

We obtain new and complete asymptotic expansions of the confluent hypergeometric functions M(a, b; z) and U(a, b; z) for large b and z. The expansions are different in the three different regions: The expansions are not of Poincaré type and we give explicit expressions for the terms of the expansio