In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

A class of generalized convex functions, the hyperbolic-concave functions, is defined, and used to characterize the collection of Hardy-Littlewood maximal functions. These maximal functions and the ...

THROUGHOUT the books treating of hyperbolic functions, although elaborate series for their determination are given, the possibility of calculating them directly from their definitions, by means of ...

Abstract: Sigmoid and Hyperbolic Tangent are widely used as activation functions in artificial neural networks. Exponential term and division are basic building blocks of these functions. This paper ...

Abstract: This paper proposes an improved sliding mode control (SMC) method using a hyperbolic function for battery charger of personal mobility devices (PMDs). In general, various control methods can ...

We review recent progress on two closely related sets of questions concerning convex co-compact hyperbolic manifolds, or convex domains in those manifolds, such as their convex core. The first set of ...