On completely monotonic functions
Mostafa Najafi, Ali Morassaei
TL;DR
This paper explores properties of completely monotonic functions, introduces new classes, and identifies specific functions that satisfy the complete monotonicity condition, expanding understanding of these functions.
Contribution
It presents new properties and classes of completely monotonic functions, along with examples of functions satisfying the complete monotonicity condition.
Findings
New classes of completely monotonic functions introduced
Properties of completely monotonic functions analyzed
Examples of functions with complete monotonicity provided
Abstract
Let be a completely monotonic function. In this paper, we present some properties of this functions and several new classes of completely monotonic functions. We also give some special functions such that its have completely monotonic condition.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Functional Equations Stability Results