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T. M. Dunster

32 papers hereh-index 14701 citations73 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author20
  • first author11
  • last author1

Across the 32 of 32 papers where every author was matched, so the position is known.

fields
  • math.CA28
  • math.NA2
  • cs.MS1
  • math.AP1

identity via Semantic Scholar / OpenAlex

activity
20142026
most citedFundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature

14 citations · 20 across the 31 of their papers we have counts for

collaborators
Showing 2017Show all

3 papers · 1 filter

math.CA2017

Liouville-Green expansions of exponential form, with an application to modified Bessel functions

T. M. Dunster

Linear second order differential equations of the form d2w/dz2−{u2f(u,z)+g(z)}w=0 are studied, where $\left| u\right| \righta…

math.CA2017★ 1 cited

Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions

T. M. Dunster, A. Gil, J. Segura

Uniform asymptotic expansions involving exponential and Airy functions are obtained for Laguerre polynomials Ln(α)​(x), as well as complementary confluent hypergeometric fun…

cs.MS2017★ 1 cited

Conical: an extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions

T. M. Dunster, A. Gil, J. Segura +1

Conical functions appear in a large number of applications in physics and engineering. In this paper we describe an extension of our module CONICAL for the computation of conical f…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.