Higher Order Thorin–Bernstein Functions

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We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.

Original languageEnglish
Article number13
JournalResults in Mathematics
Issue number1
Publication statusPublished - 2024

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).

    Research areas

  • completely monotonic function, generalized Bernstein function, generalized Stieltjes function, Laplace transform, Thorin–Bernstein function

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