Henrik Laurberg Pedersen

Search results

• 2024

  Higher Order Thorin–Bernstein Functions

  Koumandos, S. & Pedersen, H. L., 2024, In: Results in Mathematics. 79, 1, 13.

  Research output: Contribution to journal › Journal article › Research › peer-review

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  30 Downloads (Pure)

• On the Asymptotic Behavior of the Quantiles in the Gamma Distribution

  Pedersen, H. L., 2024, (E-pub ahead of print) In: Experimental Mathematics.

  Research output: Contribution to journal › Journal article › Research › peer-review

  Open Access
• 2023

  A Family of Horn-Bernstein Functions

  Berg, C. & Pedersen, H. L., 2023, In: Experimental Mathematics. 32, 3, p. 505-513

  Research output: Contribution to journal › Journal article › Research › peer-review

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  1 Citation (Scopus)

  23 Downloads (Pure)

• Generalized Bernstein functions

  Koumandos, S. & Pedersen, H. L., 2023, In: Mathematica Scandinavica. 129, 1, p. 93-116

  Research output: Contribution to journal › Journal article › Research › peer-review

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  2 Citations (Scopus)

  24 Downloads (Pure)
• 2022

  Ratios of Entire Functions and Generalized Stieltjes Functions

  Askitis, D. & Pedersen, H. L., 2022, In: Computational Methods and Function Theory. 22, p. 471–489

  Research output: Contribution to journal › Journal article › Research › peer-review

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  1 Citation (Scopus)

  34 Downloads (Pure)
• 2021

  Filled Julia Sets of Chebyshev Polynomials

  Christiansen, J. S., Henriksen, C., Pedersen, H. L. & Petersen, C. L., 2021, In: Journal of Geometric Analysis. 31, p. 12250–12263

  Research output: Contribution to journal › Journal article › Research › peer-review

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  2 Citations (Scopus)

  41 Downloads (Pure)

• Nielsen's beta function and some infinitely divisible distributions

  Berg, C., Koumandos, S. & Pedersen, H. L., 2021, In: Mathematische Nachrichten. 294, 3, p. 426-449

  Research output: Contribution to journal › Journal article › Research › peer-review

  Open Access

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  9 Citations (Scopus)

  70 Downloads (Pure)
• 2019

  Julia Sets of Orthogonal Polynomials

  Christiansen, J. S., Henriksen, C., Pedersen, H. L. & Petersen, C. L., 2019, In: Potential Analysis. 50, 3, p. 401-413 13 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  Open Access

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  6 Citations (Scopus)

  162 Downloads (Pure)

• On Generalized Stieltjes Functions

  Koumandos, S. & Pedersen, H. L., 2019, In: Constructive Approximation. 50, 1, p. 129-144

  Research output: Contribution to journal › Journal article › Research › peer-review

  Open Access

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  8 Citations (Scopus)

  157 Downloads (Pure)
• 2017

  On the asymptotic expansion of the logarithm of Barnes triple gamma function II

  Koumandos, S. & Pedersen, H. L., 2017, In: Mathematica Scandinavica. 120, 2, p. 291-304

  Research output: Contribution to journal › Journal article › Research › peer-review

• On the Laplace Transform of Absolutely Monotonic Functions

  Koumandos, S. & Pedersen, H. L., Nov 2017, In: Results in Mathematics. 72, 3, p. 1041-1053

  Research output: Contribution to journal › Journal article › Research › peer-review
  5 Citations (Scopus)

• Pick functions related to the triple Gamma function

  Das, S., Pedersen, H. L. & Swaminathan, A., 15 Nov 2017, In: Journal of Mathematical Analysis and Applications. 455, 1-2, p. 1124-1138

  Research output: Contribution to journal › Journal article › Research › peer-review
  1 Citation (Scopus)
• 2015

  Inverses of Gamma Functions

  Pedersen, H. L., Apr 2015, In: Constructive Approximation. 41, 2, p. 251-267

  Research output: Contribution to journal › Journal article › Research › peer-review
  7 Citations (Scopus)

• Modelling of phosphate retention by Ca- and Fe-rich filter materials under flow-through conditions

  Lyngsie, G., Penn, C. J., Pedersen, H. L., Borggaard, O. K. & Hansen, H. C. B., 2015, In: Ecological Engineering. 75, p. 93-102 10 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  17 Citations (Scopus)

• On Asymptotic Expansions of Generalized Stieltjes Functions

  Koumandos, S. & Pedersen, H. L., Mar 2015, In: Computational Methods and Function Theory. 15, 1, p. 93-115

  Research output: Contribution to journal › Journal article › Research › peer-review
  14 Citations (Scopus)
• 2013

  Extension of Inverses of Entire Functions of Genus 1 and 2 to the Upper Half Plane

  Pedersen, H. L., 2013, In: Computational Methods and Function Theory. 13, 2, p. 263-275

  Research output: Contribution to journal › Journal article › Research › peer-review
  1 Citation (Scopus)
• 2012

  A completely monotonic function used in an inequality of Alzer

  Berg, C. & Pedersen, H. L., 2012, In: Computational Methods and Function Theory. 12, p. 329-341

  Research output: Contribution to journal › Journal article › Research › peer-review

  6 Citations (Scopus)

• Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers

  Koumandos, S. & Pedersen, H. L., 2012, In: Mathematische Nachrichten. 285, 17-18, p. 2129-2156

  Research output: Contribution to journal › Journal article › Research › peer-review
  10 Citations (Scopus)
• 2011

  Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function

  Koumandos, S. & Pedersen, H. L., 2011, In: Monatshefte für Mathematik. 163, 1, p. 51-69 19 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  10 Citations (Scopus)

• A one-parameter family of pick functions defined by the gamma function and related to the volume of the unit ball in n-space

  Berg, C. & Pedersen, H. L., 2011, In: Proceedings of the American Mathematical Society. 139, 6, p. 2121-2132 12 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  16 Citations (Scopus)

• Completely monotonic functions related to logarithmic derivatives of entire functions

  Pedersen, H. L., 2011, In: Analysis and Applications. 9, 4, p. 409-419

  Research output: Contribution to journal › Journal article › Research › peer-review
  5 Citations (Scopus)

• Pre stieltjes functions

  Pedersen, H. L., 2011, In: Mediterranean Journal of Mathematics. 8, 1, p. 113-122 10 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  5 Citations (Scopus)
• 2009

  Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function

  Koumandos, S. & Pedersen, H. L., 2009, In: Journal of Mathematical Analysis and Applications. 355, 1, p. 33-40 8 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  65 Citations (Scopus)

• Logarithmic order and type of indeterminate moment problems II

  Pedersen, H. L., 2009, In: Journal of Computational and Applied Mathematics. 233, 3, p. 808-814 7 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  4 Citations (Scopus)

• On the asymptotic expansion of the logarithm of barnes triple gamma function

  Koumandos, S. & Pedersen, H. L., 2009, In: Mathematica Scandinavica. 105, 2, p. 287-306 20 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  12 Citations (Scopus)
• 2008

  Convexity of the median in the gamma distribution

  Berg, C. & Pedersen, H. L., 2008, In: Arkiv for Matematik. 46, 1, p. 1-6 6 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  8 Citations (Scopus)
• 2007

  Formation and degradation kinetics of the biofumigant benzyl isothiocyanate in soil

  Gimsing, A. L., Leisgaard Poulsen, J., Pedersen, H. L. & Hansen, H. C. B., 2007, In: Environmental Science & Technology (Washington). 41, 12, p. 4271-4276 6 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  28 Citations (Scopus)

• Pick functions related to entire functions having negative zeros

  Pedersen, H. L., 2007, In: Electronic Transactions on Numerical Analysis. 27, p. 94-112 19 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  1 Citation (Scopus)

• The remainder in Ruijsenaars' asymptotic expansion of Barnes double gamma function

  Pedersen, H. L., 2007, In: Mediterranean Journal of Mathematics. 4, 4, p. 419-433 15 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  12 Citations (Scopus)
• 2006

  The Chen-Rubin conjecture in a continuous setting

  Berg, C. & Pedersen, H. L., 2006, In: Methods and Applications of Analysis. 13, 1, p. 63-88 26 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
• 2005

  Canonical products of small order and related pick functions

  Pedersen, H. L., 2005, In: Journal of Computational and Applied Mathematics. 175, 2, p. 245-263 9 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  1 Citation (Scopus)

• On the remainder in an asymptotic expansion of the double gamma function

  Pedersen, H. L., 2005, In: Mediterranean Journal of Mathematics. 2, 2, p. 171-178 8 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  13 Citations (Scopus)

• The Krein condition for the moment problem: appendix A

  Pedersen, H. L., 2005, In: Journal of Applied Probability. 42, 3, p. 857-860 4 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  5 Citations (Scopus)
• 2003

  Estimates of entire functions of exponential type less than Π in terms of logarithmic sums over real Duffin and Schaeffer sequences

  Pedersen, H. L., 2003, In: Potential Analysis. 19, p. 251-260 10 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

• The double gamma function and related pick functions

  Pedersen, H. L., 2003, In: Journal of Computational and Applied Mathematics. 153, 1-2, p. 361-369 9 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
  3 Citations (Scopus)
• 2002

  On estimation of polynomials in terms of logarithmic sums over powers of integers

  Pedersen, H. L., 2002, In: Rendiconti del Cirolo Matematico de Palermo, Serie II, Suppl.. 68, p. 739-748 10 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

• Pick functions related to the Gamma function

  Berg, C. & Pedersen, H. L., 2002, In: Rocky Mountain J. of Math.. 32, 2

  Research output: Contribution to journal › Journal article › Research › peer-review

  24 Citations (Scopus)
• 2001

  A completely monotone function related to the Gamma function

  Berg, C. & Pedersen, H. L., 2001, In: J. Comp. Appl. Math.. 133, p. 219-231 12 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
• 2000

  Entire functions and logarithmic sums over nonsymmetric sets of the real line

  Pedersen, H. L., 2000, In: Ann. Acad. Sci. Fenn. Math.. 25, p. 351-388 38 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  3 Citations (Scopus)
• 1999

  Lower bounds on the values of an entire functcion of exponential type at certain integers, in terms of a least superharmonic majorant

  Koosis, P. & Pedersen, H. L., 1999, In: St. Petersburg Math. J.. 10, p. 429-439 11 p.

  Research output: Contribution to journal › Journal article › Research › peer-review
• 1998

  Entire functions having small logarithmic sums over certain discrete subsets

  Pedersen, H. L., 1998, In: Arkiv for Matematik. 36, p. 119-130 12 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  4 Citations (Scopus)

• On Krein's theorem for indeterminacy of the classical moment problem

  Pedersen, H. L., 1998, In: Journal of Approximation Theory. 95, p. 90-100 11 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  22 Citations (Scopus)
• 1997

  La parametrisation de Nevanlinna et le probleme des moments de Stieltjes indetermine

  Pedersen, H. L., 1997, In: Expo. Math.. 15, p. 273-278 6 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

• Uniform estimates of entire functions by logarithmic sums

  Pedersen, H. L., 1997, In: J. Funct. Anal.. 146, p. 517-556 40 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  6 Citations (Scopus)
• 1995

  Nevanlinna matrices of entire functions

  Berg, C. & Pedersen, H. L., 1995, In: Mathematische Nachrichten. 171, p. 29-52 24 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

• Stieltjes moment problems and the Friedrichs extension of a positive definite operator

  Pedersen, H. L., 1995, In: Journal of Approximation Theory. 83, p. 289-307 19 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  13 Citations (Scopus)
• 1994

  Nevanlinna extremal measures and zeros of entire functions.

  Berg, C. & Pedersen, H. L., 1994, In: Linear and Complex Analysis Problem Book 3, Part II, Lecture Notes in Mathematics, V.P. Havin and H.K. Nikolski (eds.). 1574, p. 89-91 3 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

• On the order and type of the entire functions associated with an indeterminate Hamburger moment problem

  Berg, C. & Pedersen, H. L., 1994, In: Arkiv för Matematik. 32, p. 1-11 11 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  30 Citations (Scopus)

• The Nevanlinna matrix of entire functions associated with a shifted indeterminate Hamburger moment problem.

  Pedersen, H. L., 1994, In: Mathematica Scandinavica. 74, p. 152-160 9 p.

  Research output: Contribution to journal › Journal article › Research › peer-review