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Titlebook: A Generalization of Bohr-Mollerup‘s Theorem for Higher Order Convex Functions; Jean-Luc Marichal,Naïm Zenaïdi Book‘‘‘‘‘‘‘‘ 2022 The Editor

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https://doi.org/10.1007/978-3-030-95088-0Difference Equation; Higher Order Convexity; Bohr-Mollerup‘s Theorem; Principal Indefinite Sums; Gauss‘
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https://doi.org/10.1007/978-3-663-09235-3In this chapter, we study some important properties of the sets . and . and provide interpretations of the asymptotic condition that defines the set ..
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Ergebnisse der empirischen Untersuchung,In this chapter, we discuss the higher order differentiability properties of Σ. when . lies in . for any .. In particular, we show the fundamental fact that Σ. also lies in . and that the sequence . converges uniformly on any bounded subinterval of . to .. Σ..
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https://doi.org/10.1007/978-3-8349-6812-8As discussed in the first chapter, the main objective of our work is to generalize Krull-Webster’s theory to multiple .-type functions and explore the properties of these functions that are analogues of classical properties of the gamma function.
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Theoriegeleitete Modellentwicklung,In the previous chapter, we tested our results on some multiple .-type functions that are well-known special functions. It is clear, however, that there are many other multiple .-type functions that are still to be introduced and investigated, simply as principal indefinite sums of standard functions.
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A Generalization of Bohr-Mollerup‘s Theorem for Higher Order Convex Functions978-3-030-95088-0Series ISSN 1389-2177 Series E-ISSN 2197-795X
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