Generalized Bernstein functions
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Generalized Bernstein functions. / Koumandos, Stamatis; Pedersen, Henrik L.
In: Mathematica Scandinavica, Vol. 129, No. 1, 2023, p. 93-116.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Generalized Bernstein functions
AU - Koumandos, Stamatis
AU - Pedersen, Henrik L.
N1 - Publisher Copyright: © 2023 Mathematica Scandinavica. All rights reserved.
PY - 2023
Y1 - 2023
N2 - A class of functions called generalized Bernstein functions is studied. The fundamental properties of this class are given and its relation to generalized Stieltjes functions via the Laplace transform is investigated. The subclass of generalized Thorin-Bernstein functions is characterized in different ways. Examples of generalized Bernstein functions include incomplete gamma functions, Lerch’s transcendent and some hypergeometric functions.
AB - A class of functions called generalized Bernstein functions is studied. The fundamental properties of this class are given and its relation to generalized Stieltjes functions via the Laplace transform is investigated. The subclass of generalized Thorin-Bernstein functions is characterized in different ways. Examples of generalized Bernstein functions include incomplete gamma functions, Lerch’s transcendent and some hypergeometric functions.
U2 - 10.7146/math.scand.a-134298
DO - 10.7146/math.scand.a-134298
M3 - Journal article
AN - SCOPUS:85161667474
VL - 129
SP - 93
EP - 116
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
SN - 0025-5521
IS - 1
ER -
ID: 358574442